A111547 Column 3 of triangle A111544; also found in column 0 of triangle A111549, which equals the matrix logarithm of A111544.

1, 4, 23, 165, 1383, 13083, 136863, 1562715, 19301319, 256191363, 3636036783, 54956529675, 881578601559, 14964805041363, 268105552191423, 5057384615702235, 100224731537223399, 2082402995330965923

Offset: 0

Author

Paul D. Hanna, Aug 07 2005

Keywords

• nonn

Crossrefs

Cf. A111544, A111549.

Programs

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])}

Formula

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