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A182926
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Row sums of absolute values of A182928.
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6
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1, 2, 3, 10, 25, 161, 721, 5706, 40881, 385687, 3628801, 41268613, 479001601, 6324319717, 87212177053, 1317906346186, 20922789888001, 357099708702023, 6402373705728001, 121882752536893635, 2432928081076384321, 51140835669924352717
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OFFSET
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1,2
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COMMENTS
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The sum of multinomial coefficients can be computed recursively as
Möbius inversion yields: 1, 1, 2, 8, 24, 157, 720, 5696, 40878,...
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LINKS
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FORMULA
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a(n) = Sum_{d|n} n!/(d*((n/d)!)^d).
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EXAMPLE
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a(6) = 1 + 10 + 30 + 120 = 161.
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MAPLE
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add(n!/(d*((n/d)!)^d), d = numtheory[divisors](n)) end:
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MATHEMATICA
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a[n_] := Sum[ Abs[ -n!/(d*(-(n/d)!)^d)], {d, Divisors[n]}]; Table[ a[n], {n, 1, 22}] (* Jean-François Alcover, Jul 29 2013 *)
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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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