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Search: id:A112913
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| 1, 3, 15, 96, 729, 6327, 61380, 655944, 7642557, 96338925, 1306003803, 18947038404, 292956751236, 4810423131828, 83620543389804, 1534493081643552, 29649997606132197, 601828286370137865, 12804746026265284149
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OFFSET
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0,2
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FORMULA
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a(n) = Sum_{k=0..n-1} (n-k+2)*A088716(k)*a(n-k-1) for n>0 with a(0)=1.
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PROGRAM
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(PARI) {a(n)=local(A=Mat(1), B); for(m=2, n+3, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, B[i, j]=-j*(A^-1)[i-j, 1]); )); A=B); return((A^-1)[n+3, 3])}
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CROSSREFS
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Cf. A112911 (triangle), A088716 (column 0), A112912 (column 1), A112914 (column 3).
Sequence in context: A060066 A128240 A076301 this_sequence A109283 A079689 A108442
Adjacent sequences: A112910 A112911 A112912 this_sequence A112914 A112915 A112916
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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), Oct 06 2005
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