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A152827
Partial products of PartitionsQ numbers (A000009).
3
1, 1, 1, 2, 4, 12, 48, 240, 1440, 11520, 115200, 1382400, 20736000, 373248000, 8211456000, 221709312000, 7094697984000, 269598523392000, 12401532076032000, 669682732105728000, 42859694854766592000
OFFSET
0,4
LINKS
FORMULA
log(a(n)) ~ 2*Pi*n^(3/2)/(3*sqrt(3)) * (1 - 9*sqrt(3)*log(n)/(8*Pi*sqrt(n)) + 3*sqrt(3)*(3 - 8*log(2) - log(3))/(8*Pi*sqrt(n)) + (13/16 - 27/(8*Pi^2))/n). - Vaclav Kotesovec, Nov 30 2015
MATHEMATICA
Table[Product[PartitionsQ[k], {k, 0, n}], {n, 0, 33}]
FoldList[Times, 1, PartitionsQ[Range[20]]] (* Harvey P. Dale, Sep 16 2011 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
Offset corrected by Vaclav Kotesovec, Nov 29 2015
STATUS
approved