A037452 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).

0, 1, 3, 6, 10, 15, 20, 26, 34, 46, 68, 97, 120, 112, 23, -186, -496, -735, -531, 779, 3894, 9323, 16472, 23056, 23850, 10116, -31613, -120720, -283202, -548924, -932162, -1380125, -1655072, -1144651, 1385629, 7943203, 21083967, 42787785, 71816191, 98995196, 100392874, 29623771, -187433150

Offset

0,3

Links

Suresh Govindarajan, Table of n, a(n) for n = 0..72

Suresh Govindarajan, Exact Enumeration of Solid Partitions, IIT Madras.

D. E. Knuth, A Note on Solid Partitions, Math. Comp. 24, 955-961, 1970.

Crossrefs

Cf. A000293, A002835, A080207, A193718.

Sequence in context: A310080 A027920 A033438 * A047800 A109443 A138777

Adjacent sequences: A037449 A037450 A037451 * A037453 A037454 A037455

Keyword

sign

Author

N. J. A. Sloane, May 02 2003

Extensions

More terms from Vladeta Jovovic, Jul 30 2003

Status

approved