A005980 - OEIS

A005980

Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for A002835 (solid partitions restricted to two planes) and expand (1-x)*(1-x^2)*(1-x^3)*...*F(x) in powers of x.
(Formerly M1169)

1, 0, 2, 4, 9, 16, 35, 63, 129, 234, 445, 798, 1458, 2568, 4561, 7924, 13770, 23584, 40301, 68097, 114646, 191336, 317893, 524396, 861054, 1405130, 2282651, 3688254, 5933463, 9499792, 15147223, 24047494, 38030315, 59906474, 94025349

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OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..34.

D. E. Knuth, A Note on Solid Partitions, Math. Comp. 24, 955-961, 1970.

CROSSREFS

Cf. A002835, A002836.

Sequence in context: A131337 A062791 A203320 * A128093 A056336 A056331

Adjacent sequences: A005977 A005978 A005979 * A005981 A005982 A005983