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A002836
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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)
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4
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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
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OFFSET
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0,3
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COMMENTS
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Convolved with A000041 = A000293, solid partitions; and left border of the convolution triangle A161564. - Gary W. Adamson, Jun 13 2009
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REFERENCES
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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).
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LINKS
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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
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CROSSREFS
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Cf. A000293, A005980, A000293, A000041, A161564.
Sequence in context: A267004 A322779 A096584 * A116720 A116731 A116722
Adjacent sequences: A002833 A002834 A002835 * A002837 A002838 A002839
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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More terms from Pab Ter (pabrlos(AT)yahoo.com), May 08 2004
More terms from Srivatsan Balakrishnan and Suresh Govindarajan, Jan 03 2013
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STATUS
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approved
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