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A192551
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a(n) = sum(abs(stirling1(n+1,k+1))*k!^2,k=0..n)
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1
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1, 2, 9, 77, 1150, 27394, 957040, 45996880, 2904500048, 232935169536, 23114775120624, 2779720331819760, 398266855573740192, 67024510463455711776, 13090037070947651891136, 2936252114196522165716544, 749684382637966175707918848
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
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a(n) ~ sqrt(e)*(n!)^2. - Vaclav Kotesovec, Jan 02 2013
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MATHEMATICA
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Table[Sum[Abs[StirlingS1[n+1, k+1]]k!^2, {k, 0, n}], {n, 0, 100}]
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PROG
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(Maxima) makelist(sum(abs(stirling1(n+1, k+1))*k!^2, k, 0, n), n, 0, 24);
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CROSSREFS
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Sequence in context: A277406 A182947 A006041 * A121131 A166891 A184894
Adjacent sequences: A192548 A192549 A192550 * A192552 A192553 A192554
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KEYWORD
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nonn
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AUTHOR
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Emanuele Munarini, Jul 04 2011
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STATUS
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approved
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