A002836 Let F(x) = 1 + x + 4x^2 + 10x^3 + ... = g.f. for A000293 (solid partitions) and expand (1-x)(1-x^2)(1-x^3)...*F(x) in powers of x.

1, 0, 2, 5, 12, 24, 56, 113, 248, 503, 1043, 2080, 4169, 8145, 15897, 30545, 58402, 110461, 207802, 387561, 718875, 1324038, 2425473, 4416193, 7999516, 14411507, 25837198, 46092306, 81851250, 144691532, 254682865, 446399687, 779302305

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Comments

Convolved with A000041 = A000293, solid partitions; and left border of the convolution triangle A161564. - Gary W. Adamson, Jun 13 2009

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Suresh Govindarajan, Table of n, a(n) for n = 0..72
• D. E. Knuth, A Note on Solid Partitions, Math. Comp. 24, 955-961, 1970.
• Physics enthusiasts at IIT Madras, The Solid Partitions Project

Crossrefs

Cf. A000293, A005980, A000293, A000041, A161564.

Extensions

More terms from Pab Ter (pabrlos(AT)yahoo.com), May 08 2004

More terms from Srivatsan Balakrishnan and Suresh Govindarajan, Jan 03 2013