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A307375
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Expansion of Sum_{j>=0} j!*x^j / Product_{k=1..j} (1 - k^2*x).
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0
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1, 1, 3, 17, 151, 1893, 31499, 666169, 17351967, 543441005, 20079329875, 861908850561, 42439075349543, 2371469004695797, 149022897087857691, 10448429535366899273, 811758520658841809839, 69463012765807086749949, 6511800419610377560644707, 665560984365147223546851985
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..19.
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MATHEMATICA
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nmax = 19; CoefficientList[Series[Sum[j! x^j/Product[(1 - k^2 x), {k, 1, j}], {j, 0, nmax}], {x, 0, nmax}], x]
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CROSSREFS
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Cf. A000670, A135920, A229234.
Sequence in context: A303063 A209305 A182957 * A007767 A075820 A145081
Adjacent sequences: A307372 A307373 A307374 * A307376 A307377 A307378
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KEYWORD
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nonn
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AUTHOR
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Ilya Gutkovskiy, Apr 06 2019
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STATUS
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approved
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