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 A322855 Number of compositions (ordered partitions) of n into heptagonal pyramidal numbers (A002413). 3
 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 18, 23, 29, 36, 44, 53, 64, 78, 97, 121, 151, 188, 233, 287, 352, 431, 530, 654, 809, 1002, 1241, 1535, 1895, 2335, 2876, 3544, 4371, 5396, 6666, 8237, 10176, 12564, 15504, 19126, 23594, 29111, 35928 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 LINKS Table of n, a(n) for n=0..54. Eric Weisstein's World of Mathematics, Heptagonal Pyramidal Number Index entries for sequences related to compositions FORMULA G.f.: 1/(1 - Sum_{k>=1} x^(k*(k+1)*(5*k-2)/6)). MATHEMATICA nmax = 54; CoefficientList[Series[1/(1 - Sum[x^(k (k + 1) (5 k - 2)/6), {k, 1, nmax}]), {x, 0, nmax}], x] CROSSREFS Cf. A002413, A279223, A282582, A322340, A322799, A322803, A322853, A322854, A322856. Sequence in context: A367800 A291146 A023358 * A322803 A322800 A061379 Adjacent sequences: A322852 A322853 A322854 * A322856 A322857 A322858 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Dec 29 2018 STATUS approved

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Last modified September 8 14:54 EDT 2024. Contains 375753 sequences. (Running on oeis4.)