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. (Formerly M1408 N0550)

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

0,3

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.

Sequence in context: A267004 A322779 A096584 * A116720 A116731 A116722

Adjacent sequences: A002833 A002834 A002835 * A002837 A002838 A002839

Keyword

nonn

Author

N. J. A. Sloane

Extensions

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

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

Status

approved