{ "category": "Math and trigonometry functions", "display_name": "SEQUENCE", "entry_kind": "built_in_function", "eval_api": { "method": "POST", "url": "https://handbook.dnacalc.com/api/eval" }, "function_id": "FUNC.SEQUENCE", "implementation_state": { "answer_bank": null, "detail": "Recorded: 52 workbook cells.", "dnacalc_commit": "9e1884369a678158dd82d3d74188daf986995e87", "in_catalogue": true, "state": "matches", "state_label": "Matches every recorded Excel answer", "summary": "Matches all 52 recorded answers", "workbook_corpus": { "cells": 52, "matched": 52 } }, "implementations": [ { "commit": "9e1884369a678158dd82d3d74188daf986995e87", "flavour": "excel-compatibility-candidate", "language": "Rust", "name": "CalcFunc", "own_code": [ "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/arrays.rs#L630-L632", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/arrays.rs#L617-L626", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/ported/dynamic_array_reshape_family.rs#L97-L102", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/ported/dynamic_array_reshape_family.rs#L1044-L1098", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/ported/dynamic_array_reshape_family.rs#L1104-L1115", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/ported/dynamic_array_reshape_family.rs#L1118-L1124" ], "repository": "https://github.com/DnaCalc/DnaCalc", "shared_code": [ "catalogue/arrays::result", "ported/dynamic_array_reshape_family::coerce_prepared_to_number", "ported/dynamic_array_reshape_family::scalar_cell", "ported/dynamic_array_reshape_family::get", "ported/dynamic_array_reshape_family::build_array", "ported/dynamic_array_reshape_family::map_dynamic_array_reshape_error_to_ws" ], "source": "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/arrays.rs#L630-L632", "state": "matches", "suite": null, "summary": "Matches all 52 recorded answers" } ], "json_url": "https://handbook.dnacalc.com/api/functions/FUNC.SEQUENCE.json", "name": "SEQUENCE", "notes": [], "schema": "efh.function-reference/v1", "section_order": [ "what-it-does", "try-it", "quirks", "how-to-implement", "version-differences", "alternatives" ], "sections": { "alternatives": "\n[MAKEARRAY](FUNC.MAKEARRAY.md) computes each entry from coordinates; [RANDARRAY](FUNC.RANDARRAY.md) generates random entries; [SCAN](FUNC.SCAN.md) returns intermediate accumulator values.\n\n\n", "how-to-implement": "\n1. Prepare all four arguments, preserving formed worksheet errors. Apply the defaults before dimension checks; omission and numeric zero are different cases.\n2. Require finite, positive integer row and column counts. Check their product for overflow and against the host’s output limit before allocating.\n3. For zero-based output index `i`, compute `start+i*step` with a multiply followed by an add. Store it at row `i div columns`, column `i mod columns`.\n4. Return an array with the requested shape. The workbook host checks its spill destination.\n\nThis is the current code’s direct-index calculation. Do not silently replace it with repeated `previous+step`: accumulated rounding can change the sequence. For example, the current route for `SEQUENCE(1,3,10000000000000000,1)` gives `10000000000000000`, `10000000000000000`, `10000000000000002`; repeated binary64 addition of one would stay at the first value. This distinguishes two implementable algorithms, not an identified arithmetic route for every Excel build.\n\n\n", "quirks": "\nThe output needs enough free worksheet cells to spill. The function’s array result and the workbook’s placement decision are separate: a correct two-by-three array can still encounter a spill obstruction. Microsoft documents limited support for dynamic arrays linked across workbooks; closing the source workbook can give `#REF!` when the link refreshes.\n\nThe current numeric implementation accepts positive integer dimensions. A zero dimension gives `#CALC!`; a negative or fractional dimension gives `#VALUE!`. Omitted or blank arguments take their defaults. These error choices come from the implementation, since the opened Microsoft function page does not enumerate those dimension errors.\n\n\n", "sources": "\n- [Microsoft: SEQUENCE function](https://support.microsoft.com/en-us/office/sequence-function-57467a98-57e0-4817-9f14-2eb78519ca90), opened 6 November 2026; syntax, documented argument rules and errors.\n- [DnaCalc SEQUENCE preparation and direct-index generation, `SequenceWork`](https://github.com/DnaCalc/DnaCalc/blob/da3ecc4fb19a3a5529708c311d0e8f05688ac165/crates/calc-func/src/ported/dynamic_array_reshape_family.rs).\n\n", "try-it": "\n`=SEQUENCE(2,3,10,2)` spills these two rows:\n\n| Column 1 | Column 2 | Column 3 |\n|---:|---:|---:|\n| 10 | 12 | 14 |\n| 16 | 18 | 20 |\n\nThe sequence continues across the first row before moving to the second. `=SEQUENCE(,3,5,2)` produces one row, `5,7,9`. A negative step descends, while a zero step repeats the start value.\n\n\n", "version-differences": "\nNo same-input comparison between named Excel builds is recorded for this function here. The documented behaviour below is not a measurement of every Excel release.\n\n\n", "what-it-does": "\n`SEQUENCE(rows, [columns], [start], [step])` creates a rectangular array of regularly spaced numbers. Optional arguments default to one. Microsoft also permits omitting `rows` when at least one other argument is supplied; the missing row count then defaults to one.\n\n\n" }, "signature": { "display": "SEQUENCE(rows, [columns], [start], [step])", "parameters": [ { "description": null, "name": "rows", "optional": false, "repeats": false }, { "description": null, "name": "columns", "optional": true, "repeats": false }, { "description": null, "name": "start", "optional": true, "repeats": false }, { "description": null, "name": "step", "optional": true, "repeats": false } ], "trailing_repeats": false }, "sources": { "metadata": { "admission": { "label": "implemented", "reason": null }, "arity": { "max": 4, "min": 1 }, "category": "Math and trigonometry functions", "classification": { "arg_preparation_profile": "ValuesOnlyPreAdapter", "coercion_lift_profile": "Custom", "determinism_class": "Deterministic", "error_collapse_profile": "None", "fec_dependency_profile": "None", "host_interaction_class": "None", "kernel_signature_class": "Custom", "rich_value_usage": "RichBlind", "surface_fec_dependency_profile": "RefOnly", "thread_safety_class": "SafePure", "volatility_class": "NonVolatile" }, "descriptions": { "long": null, "short": "An array of evenly spaced numbers of a given size", "short_source": "dna-calc-own" }, "docs": { "english_description": "Generates a list of sequential numbers in an array, such as 1, 2, 3, 4", "microsoft_url": "https://support.microsoft.com/en-us/office/sequence-function-57467a98-57e0-4817-9f14-2eb78519ca90" }, "entry_kind": "built_in_function", "localized_family_names": null, "localized_names": [ { "locale": "ar-SA", "name": "SEQUENCE" }, { "locale": "bg-BG", "name": "SEQUENCE" }, { "locale": "cs-CZ", "name": "SEQUENCE" }, { "locale": "da-DK", "name": "SEKVENS" }, { "locale": "de-DE", "name": "SEQUENCE" }, { "locale": "el-GR", "name": "SEQUENCE" }, { "locale": "en-AU", "name": "SEQUENCE" }, { "locale": "en-GB", "name": "SEQUENCE" }, { "locale": "en-US", "name": "SEQUENCE" }, { "locale": "es-ES", "name": "SECUENCIA" }, { "locale": "et-EE", "name": "SEQUENCE" }, { "locale": "fi-FI", "name": "SEKVENSSI" }, { "locale": "fr-FR", "name": "SEQUENCE*" }, { "locale": "he-IL", "name": "SEQUENCE" }, { "locale": "hr-HR", "name": "SEQUENCE" }, { "locale": "hu-HU", "name": "SORSZÁMLISTA" }, { "locale": "id-ID", "name": "SEQUENCE" }, { "locale": "it-IT", "name": "SEQUENCE" }, { "locale": "ja-JP", "name": "SEQUENCE" }, { "locale": "ko-KR", "name": "SEQUENCE" }, { "locale": "lt-LT", "name": "SEQUENCE" }, { "locale": "lv-LV", "name": "SEQUENCE" }, { "locale": "nb-NO", "name": "SEQUENCE" }, { "locale": "nl-NL", "name": "VOLGORDE" }, { "locale": "pl-PL", "name": "SEKWENCJA" }, { "locale": "pt-BR", "name": "SEQUENCE" }, { "locale": "pt-PT", "name": "SEQUÊNCIA" }, { "locale": "ro-RO", "name": "SEQUENCE" }, { "locale": "ru-RU", "name": "ПОСЛЕД" }, { "locale": "sk-SK", "name": "SEQUENCE" }, { "locale": "sl-SI", "name": "SEQUENCE" }, { "locale": "sr-Latn-RS", "name": "SEKVENCE" }, { "locale": "sv-SE", "name": "SEKVENS" }, { "locale": "th-TH", "name": "SEQUENCE" }, { "locale": "tr-TR", "name": "SIRALI" }, { "locale": "uk-UA", "name": "SEQUENCE" }, { "locale": "vi-VN", "name": "SEQUENCE" }, { "locale": "zh-CN", "name": "SEQUENCE" }, { "locale": "zh-HK", "name": "SEQUENCE" }, { "locale": "zh-TW", "name": "SEQUENCE" } ], "signature": { "display": "SEQUENCE(rows, [columns], [start], [step])", "parameters": [ { "description": null, "name": "rows", "optional": false, "repeats": false }, { "description": null, "name": "columns", "optional": true, "repeats": false }, { "description": null, "name": "start", "optional": true, "repeats": false }, { "description": null, "name": "step", "optional": true, "repeats": false } ], "trailing_repeats": false }, "surface_name": "SEQUENCE", "version_marker": null, "xlcall": null }, "microsoft": "https://support.microsoft.com/en-us/office/sequence-function-57467a98-57e0-4817-9f14-2eb78519ca90" }, "try_it": { "formula": "=SEQUENCE(2,3,10,2)" }, "url": "https://handbook.dnacalc.com/functions/SEQUENCE.html", "variants": [], "versions": [] }