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Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).
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%I #23 Jan 09 2021 10:45:47

%S 0,1,3,6,10,15,20,26,34,46,68,97,120,112,23,-186,-496,-735,-531,779,

%T 3894,9323,16472,23056,23850,10116,-31613,-120720,-283202,-548924,

%U -932162,-1380125,-1655072,-1144651,1385629,7943203,21083967,42787785,71816191,98995196,100392874,29623771,-187433150

%N Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).

%H Suresh Govindarajan, <a href="/A037452/b037452.txt">Table of n, a(n) for n = 0..72</a>

%H Suresh Govindarajan, <a href="http://boltzmann.wikidot.com/solid-partitions">Exact Enumeration of Solid Partitions</a>, IIT Madras.

%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, A080207, A193718.

%K sign

%O 0,3

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

%E More terms from _Vladeta Jovovic_, Jul 30 2003