A193718 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} E(n)^a(n) where E(n) = Product_{k>=n} (1 - x^(n*k)).

1, 2, 5, 7, 14, 12, 25, 24, 40, 51, 96, 93, 111, -5, -206, -530, -736, -591, 778, 3819, 9292, 16373, 23055, 23706, 10101, -31727, -120766, -283232, -548925, -932041, -1380126, -1654576, -1144753, 1386362, 7943163, 21084398, 42787784, 71815410, 98995079, 100388956, 29623770, -187442482, -648478235, -1449118398, -2615085854, -3963369427, -4855203952, -3819950381, 1908741941, 16724652946

Offset

0,2

Links

Table of n, a(n) for n=0..49.

Crossrefs

Cf. A037452 (expansion 1/Product_{n>=1} (1 - x^n)^a(n)), A000293 (solid partitions).

Sequence in context: A265793 A126338 A305993 * A007438 A338205 A230301

Adjacent sequences: A193715 A193716 A193717 * A193719 A193720 A193721

Keyword

sign

Author

Joerg Arndt, Aug 03 2011

Status

approved