Alcuin's sequence
id:
alcuin-s-sequence-189-15392649
title:
Alcuin's sequence
text:
In mathematics, Alcuin's sequence, named after Alcuin of York, is the sequence of coefficients of the power-series expansion of:
- x 3 ( 1 − x 2 ) ( 1 − x 3 ) ( 1 − x 4 ) = x 3 + x 5 + x 6 + 2 x 7 + x 8 + 3 x 9 + ⋯. The sequence begins with these integers:
- 0, 0, 0, 1, 0, 1, 1, 2, 1, 3, 2, 4, 3, 5, 4, 7, 5, 8, 7, 10, 8, 12, 10, 14, 12, 16, 14, 19, 16, 21 (sequence A005044 in the OEIS) The nth term indexed from zero, i.e., the coefficient of x n in the power series, is the number of triangle
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Alcuin%27s_sequence
date created:
2012-07-25T22:22:18Z
date modified:
2024-09-09T14:17:35Z
main entity:
{"identifier":"Q4713383","url":"https://www.wikidata.org/entity/Q4713383"}
image:
fields total:
13
integrity:
14