|
|
A307321
|
|
Expansion of Product_{j>=1} 1/(1 - (-1 + Product_{k>=1} 1/(1 - x^k)^k)^j)^j.
|
|
3
|
|
|
1, 1, 6, 30, 143, 660, 3000, 13448, 59696, 262788, 1148738, 4989908, 21551733, 92596511, 395921737, 1685304092, 7143861196, 30163965903, 126895681419, 531986033218, 2222961809367, 9260148591001, 38461580964389, 159302487751844, 658054630483936, 2711429650817356
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
G.f.: g(g(x) - 1), where g(x) = g.f. of A000219 (number of planar partitions).
|
|
MATHEMATICA
|
nmax = 25; CoefficientList[Series[Product[1/(1 - (-1 + Product[1/(1 - x^k)^k, {k, 1, nmax}])^j)^j, {j, 1, nmax}], {x, 0, nmax}], x]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|