A387998 - OEIS

A387998

One third the number of solid partitions of n with 5 parts.

8, 8, 25, 44, 77, 115, 182, 257, 370, 497, 672, 872, 1136, 1427, 1797, 2214, 2718, 3280, 3954, 4695, 5567, 6523, 7628, 8838, 10219, 11717, 13412, 15252, 17307, 19524, 21991, 24640, 27566, 30701, 34137, 37813, 41823, 46093, 50733, 55667, 60999, 66653, 72748, 79195

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OFFSET

5,1

LINKS

Table of n, a(n) for n=5..48.

Index entries for linear recurrences with constant coefficients, signature (1,1,0,0,-1,-1,-1,1,1,1,0,0,-1,-1,1).

FORMULA

G.f.: (q^12 + 6*q^11 + 2*q^10 + 8*q^9 + 11*q^8 + 9*q^7 + 8*q^5)/((1-q) * (1-q^2) * (1-q^3) * (1-q^4) * (1-q^5)).

PROG

(PARI)

A_q(N) = {Vec((q^12 + 6*q^11 + 2*q^10 + 8*q^9 + 11*q^8 + 9*q^7 + 8*q^5)/((1-q) * (1-q^2) * (1-q^3) * (1-q^4) * (1-q^5)) + O('q^(N+1)))}

CROSSREFS