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Search: id:A111556
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| 1, 4, 24, 184, 1664, 17024, 192384, 2366144, 31362304, 444907264, 6720628224, 107674883584, 1823884857344, 32575705493504, 612054254936064, 12071987619713024, 249477777420304384, 5392386599983366144
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OFFSET
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0,2
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COMMENT
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Also found in column 0 of triangle A111559, which equals the matrix inverse of A111553.
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FORMULA
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G.f.: Log(Sum_{n>=0} (n+3)!/3!*x^n) = Sum_{n>=1} a(n)*x^n/n. a(n) = 4*A111531(n) for n>0.
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PROGRAM
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(PARI) {a(n)=if(n<0, 0, (matrix(n+4, n+4, m, j, if(m==j, 1, if(m==j+1, -m+1, -(m-j-1)*polcoeff(log(sum(i=0, m, (i+3)!/3!*x^i)), m-j-1))))^-1)[n+4, 4])}
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CROSSREFS
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Cf. A111553, A111531, A111559.
Adjacent sequences: A111553 A111554 A111555 this_sequence A111557 A111558 A111559
Sequence in context: A112914 A007846 A061720 this_sequence A135905 A028498 A001397
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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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