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A111547 Column 3 of triangle A111544; also found in column 0 of triangle A111549, which equals the matrix logarithm of A111544. 1
1, 4, 23, 165, 1383, 13083, 136863, 1562715, 19301319, 256191363, 3636036783, 54956529675, 881578601559, 14964805041363, 268105552191423, 5057384615702235, 100224731537223399, 2082402995330965923 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n) = A111544(n+3, 3) = A111549(n+1, 0).

PROG

(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+2)!/2!*x^i)), m-j-1))))^-1)[n+4, 4])}

CROSSREFS

Cf. A111544, A111549.

Sequence in context: A007297 A198916 A182969 * A158884 A053525 A113869

Adjacent sequences:  A111544 A111545 A111546 * A111548 A111549 A111550

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2005

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Last modified February 17 09:11 EST 2012. Contains 206005 sequences.