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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)
5

%I M1169 #13 Oct 12 2017 12:38:44

%S 1,0,2,4,9,16,35,63,129,234,445,798,1458,2568,4561,7924,13770,23584,

%T 40301,68097,114646,191336,317893,524396,861054,1405130,2282651,

%U 3688254,5933463

%N 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.

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

%H D. E. Knuth, <a href="http://dx.doi.org/10.1090/S0025-5718-1970-0277401-7">A Note on Solid Partitions</a>, Math. Comp. 24, 955-961, 1970.

%Y Cf. A002836.

%K nonn,more

%O 0,3

%A _N. J. A. Sloane_.