STATUS
editing
approved
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Revision History for A299162
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LINKS
Alois P. Heinz, <a href="/A299162/b299162.txt">Table of n, a(n) for n = 0..2256</a>
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
FORMULA
G.f.: 1/(1 - x*Product_{k>=1} 1/(1 - k*x^k)).
NAME
allocated for Ilya Gutkovskiy
Expansion of 1/(1 - x*Product_{k>=1} 1/(1 - k*x^k)).
DATA
1, 1, 2, 6, 17, 49, 135, 380, 1051, 2925, 8119, 22548, 62574, 173767, 482360, 1339126, 3717700, 10321163, 28653557, 79548612, 220843925, 613110573, 1702128034, 4725475979, 13118945083, 36421037100, 101112695940, 280710759278, 779313926949, 2163544401343, 6006468273440
OFFSET
0,3
LINKS
N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
FORMULA
G.f.: 1/(1 - x*Product_{k>=1} 1/(1 - x^k)).
a(0) = 1; a(n) = Sum_{k=1..n} A006906(k-1)*a(n-k).
MATHEMATICA
nmax = 30; CoefficientList[Series[1/(1 - x Product[1/(1 - k x^k), {k, 1, nmax}]), {x, 0, nmax}], x]
KEYWORD
allocated
nonn
AUTHOR
Ilya Gutkovskiy, Feb 04 2018
STATUS
approved
editing
NAME
allocated for Ilya Gutkovskiy
KEYWORD
allocated
STATUS
approved