A080207 Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for A002835 (solid partitions restricted to two planes) and write F(x) = 1/Product_{n>=1} (1-x^n)^a(n).

0, 1, 3, 5, 7, 9, 10, 12, 16, 21, 29, 32, 22, -2, -39, -67, -48, 64, 277, 576, 848, 981, 771, 40, -1498, -4276, -8745, -15062, -21702, -24254, -13524, 23375, 99649, 219267, 364518, 481760

Offset

0,3

Links

Table of n, a(n) for n=0..35.

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

Crossrefs

Cf. A000293, A002835, A037452.

Sequence in context: A294601 A376692 A358529 * A348017 A381038 A187347

Adjacent sequences: A080204 A080205 A080206 * A080208 A080209 A080210

Keyword

sign,more

Author

N. J. A. Sloane, May 02 2003

Extensions

a(29)-a(35) from Sean A. Irvine, Sep 08 2025

Status

approved