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Search: id:A111537
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| 1, 2, 8, 44, 296, 2312, 20384, 199376, 2138336, 24936416, 314142848, 4252773824, 61594847360, 950757812864, 15586971531776, 270569513970944, 4959071121374720, 95721139472072192, 1941212789888952320
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OFFSET
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0,2
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FORMULA
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a(n) = A111536(n+1, 1) = 2*A111536(n, 0) = 2*A111529(n) for n>=1. G.f.: Log(Sum_{n>=0} (n+1)!*x^n) = Sum_{n>=1} a(n)*x^n/n.
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PROGRAM
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(PARI) {a(n)=if(n<0, 0, (matrix(n+2, n+2, m, j, if(m==j, 1, if(m==j+1, -m+1, -(m-j-1)*polcoeff(log(sum(i=0, m, (i+1)!/1!*x^i)), m-j-1))))^-1)[n+2, 2])}
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CROSSREFS
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Cf. A111536, A111529.
Sequence in context: A014508 A141147 A120928 this_sequence A051045 A112912 A124467
Adjacent sequences: A111534 A111535 A111536 this_sequence A111538 A111539 A111540
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 06 2005
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