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Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for A002835 (solid partitions restricted to two planes) and write F(x) = 1/Product_{n>=1} (1-x^n)^a(n).
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%I #6 Oct 12 2017 12:38:10

%S 0,1,3,5,7,9,10,12,16,21,29,32,22,-2,-39,-67,-48,64,277,576,848,981,

%T 771,40,-1498,-4276,-8745,-15062,-21702

%N Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for A002835 (solid partitions restricted to two planes) and write F(x) = 1/Product_{n>=1} (1-x^n)^a(n).

%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. A000293, A002835, A037452.

%K sign,more

%O 0,3

%A _N. J. A. Sloane_, May 02 2003