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A111538
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Column 2 of triangle A111536; also equals column 0 of triangle A111541, which is the matrix log of triangle A111536.
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4
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1, 3, 14, 84, 600, 4908, 44952, 454344, 5016768, 60062352, 775089312, 10728930912, 158638465536, 2496437377728, 41674737264000, 735831528563328, 13704461848753152, 268562085051533568, 5525005742876244480
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = A111536(n+2, 2) = A111541(n+1, 0).
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PROG
| (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+1)!/1!*x^i)), m-j-1))))^-1)[n+3, 3])}
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CROSSREFS
| Cf. A111536, A111541.
Sequence in context: A190761 A005700 A088717 * A160881 A088716 A005189
Adjacent sequences: A111535 A111536 A111537 * A111539 A111540 A111541
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Aug 06 2005
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