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A294610
Expansion of Product_{k>=1} 1/(1 - k*x^k)^(k^k).
2
1, 1, 9, 90, 1154, 17427, 309117, 6285102, 144603015, 3717580810, 105696353842, 3293810230381, 111651093529948, 4089889271054734, 160989247361249558, 6776381334102511286, 303712681809603918633, 14439887378431671417669
OFFSET
0,3
LINKS
FORMULA
a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} A294608(k) * a(n-k) for n > 0.
MATHEMATICA
nmax = 20; CoefficientList[Series[Product[1/(1 - k*x^k)^(k^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Nov 05 2017 *)
PROG
(PARI) N=66; x='x+O('x^N); Vec(1/prod(k=1, N, (1-k*x^k)^k^k))
CROSSREFS
Column k=1 of A294609.
Sequence in context: A127769 A276961 A062815 * A294813 A218118 A160569
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 04 2017
STATUS
approved