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A284605
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The number of partitions of n! into factorials.
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11
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1, 1, 2, 5, 36, 1477, 480733, 1626159677, 71503454739706, 49130011692806196131, 616983581832732519940145403
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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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MAPLE
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local x, d, g ;
g := 1;
for i from 1 do
g := g/(1-x^(i!)) ;
g := taylor(g, x=0, n+1) ;
if i! > n then
break ;
end if;
end do:
return coeftayl(%, x=0, n) ;
end proc:
for n from 0 do
end do:
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MATHEMATICA
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A064986[n_] := Module[{x, d, g = 1}, For[i = 1, True, i++, g = g/(1 - x^(i!)); g = Series[g, {x, 0, n+1}]; If[i! > n, Break[]]]; Return[ SeriesCoefficient[g, {x, 0, n}]]];
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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