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 A241632 Number of compositions of n with exactly seven descents. 3
 21, 259, 1932, 10898, 51083, 208936, 768594, 2594957, 8158005, 24140097, 67794864, 181889780, 468678716, 1164905882, 2803070038, 6549961919, 14901997455, 33085162997, 71822232573, 152710556875, 318509850193, 652536555773, 1314728710475, 2607856668543 (list; graph; refs; listen; history; text; internal format)
 OFFSET 21,1 LINKS Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 21..1000 EXAMPLE a(21) = 21: [3,2,1,2,1,3,2,1,3,2,1], [3,2,1,3,2,1,2,1,3,2,1], [3,2,1,3,2,1,3,2,1,2,1], [2,1,3,2,1,3,2,1,3,2,1], [2,1,2,1,2,1,3,2,1,3,2,1], [3,2,1,3,2,1,2,1,2,1,2,1], [2,1,2,1,3,2,1,2,1,3,2,1], [2,1,3,2,1,2,1,3,2,1,2,1], [3,2,1,2,1,3,2,1,2,1,2,1], [3,2,1,2,1,2,1,2,1,3,2,1], [2,1,3,2,1,2,1,2,1,3,2,1], [3,2,1,2,1,2,1,3,2,1,2,1], [2,1,2,1,3,2,1,3,2,1,2,1], [2,1,3,2,1,3,2,1,2,1,2,1], [3,2,1,2,1,2,1,2,1,2,1,2,1], [2,1,2,1,2,1,2,1,2,1,3,2,1], [2,1,3,2,1,2,1,2,1,2,1,2,1], [2,1,2,1,2,1,2,1,3,2,1,2,1], [2,1,2,1,2,1,3,2,1,2,1,2,1], [2,1,2,1,3,2,1,2,1,2,1,2,1], [2,1,2,1,2,1,2,1,2,1,2,1,2,1]. MAPLE b:= proc(n, i) option remember; `if`(n=0, 1, convert(series(add(b(n-j, j)* `if`(j coeff(b(n, 0), x, 7): seq(a(n), n=21..50); CROSSREFS Column k=7 of A238343 and of A238344. Sequence in context: A165094 A360804 A322500 * A323972 A125433 A135122 Adjacent sequences: A241629 A241630 A241631 * A241633 A241634 A241635 KEYWORD nonn AUTHOR Joerg Arndt and Alois P. Heinz, Apr 26 2014 STATUS approved

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Last modified September 26 09:05 EDT 2023. Contains 365654 sequences. (Running on oeis4.)