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Search: id:A111546
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| 1, 3, 15, 99, 783, 7083, 71415, 789939, 9485343, 122721723, 1701224775, 25156450179, 395362560303, 6583219735563, 115817825451735, 2147443419579219, 41868118883289663, 856527397513863003
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OFFSET
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0,2
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COMMENT
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Also forms the columns of triangle A111548, which is the matrix inverse of triangle A111544.
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FORMULA
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G.f.: Log(Sum_{n>=0} (n+2)!/2!*x^n) = Sum_{n>=1} a(n)*x^n/n. a(n) = 3*A111530(n) = -A111548(n+1, 0) for n>0.
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PROGRAM
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(PARI) {a(n)=if(n<0, 0, (matrix(n+3, n+3, m, j, if(m==j, 1, if(m==j+1, -m+1, -(m-j-1)*polcoeff(log(sum(i=0, m, (i+2)!/2!*x^i)), m-j-1))))^-1)[n+3, 3])}
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CROSSREFS
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Cf. A111544, A111530, A111548.
Adjacent sequences: A111543 A111544 A111545 this_sequence A111547 A111548 A111549
Sequence in context: A046635 A140286 A091713 this_sequence A135883 A074521 A074536
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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 07 2005
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