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A322856 Number of compositions (ordered partitions) of n into octagonal pyramidal numbers (A002414). 3
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 19, 24, 30, 37, 45, 54, 64, 76, 91, 110, 135, 166, 204, 250, 305, 370, 447, 539, 650, 787, 956, 1164, 1419, 1730, 2107, 2562, 3110, 3770, 4569, 5540, 6723, 8166, 9926, 12070, 14677, 17841, 21675 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

Table of n, a(n) for n=0..56.

Eric Weisstein's World of Mathematics, Pyramidal Number

Index entries for sequences related to compositions

FORMULA

G.f.: 1/(1 - Sum_{k>=1} x^(k*(k+1)*(2*k-1)/2)).

MATHEMATICA

nmax = 56; CoefficientList[Series[1/(1 - Sum[x^(k (k + 1) (2 k - 1)/2), {k, 1, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A002414, A279224, A280863, A282582, A322340, A322800, A322853, A322854, A322855.

Sequence in context: A130224 A017903 A005711 * A280863 A059765 A180479

Adjacent sequences:  A322853 A322854 A322855 * A322857 A322858 A322859

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Dec 29 2018

STATUS

approved

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Last modified April 19 20:04 EDT 2019. Contains 322291 sequences. (Running on oeis4.)