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A294373
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Product of first n Bell numbers.
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6
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1, 1, 2, 10, 150, 7800, 1583400, 1388641800, 5748977052000, 121573617718644000, 14099500314919737900000, 9567497928695086546803000000, 40313580569855830588349480391000000, 1114446238307803607782300144651734867000000
(list;
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listen;
history;
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internal format)
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OFFSET
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0,3
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LINKS
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FORMULA
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log(a(n)) ~ n^2 * LambertW(n)/2 * (1 - 3/(2*LambertW(n)) + 3/(2*LambertW(n)^2) + 1/(4*LambertW(n)^3)). - Vaclav Kotesovec, Feb 26 2021
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MAPLE
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B:= map(combinat:-bell, [$0..19]):
map(i -> convert(B[1..i], `*`), [$1..20]); # Robert Israel, Oct 29 2017
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MATHEMATICA
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Table[Product[BellB[k], {k, 0, n}], {n, 0, 15}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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