A393692 - OEIS

A393692

Number of plane partitions of n with 4 parts.

5, 5, 13, 20, 33, 43, 66, 83, 114, 141, 182, 219, 275, 322, 391, 455, 539, 616, 720, 814, 936, 1050, 1192, 1326, 1493, 1647, 1837, 2018, 2233, 2437, 2682, 2913, 3186, 3447, 3750, 4041, 4379, 4700, 5071, 5429, 5835, 6226, 6672, 7100, 7584, 8052, 8576, 9084, 9653

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OFFSET

4,1

LINKS

Table of n, a(n) for n=4..52.

Index entries for linear recurrences with constant coefficients, signature (-1,-1,0,0,2,0,0,-1,-1,1).

FORMULA

G.f.: (2*q^7 + 3*q^6 + 5*q^4)/(Product_{k=1..4} (1 - q^k)).

PROG

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

CROSSREFS

Column k=4 of A091298.