A111557 Column 4 of triangle A111553; also found in column 0 of triangle A111560, which equals the matrix logarithm of A111553.

1, 5, 34, 282, 2696, 28792, 337072, 4273632, 58195072, 846038912, 13072140032, 213897731712, 3695682017792, 67254929193472, 1286282280266752, 25802708552696832, 541894309127053312, 11894387852938452992

Offset: 0

Author

Paul D. Hanna, Aug 07 2005

Keywords

• nonn

Crossrefs

Cf. A111553, A111560.

Programs

PARI

{a(n)=if(n<0,0,(matrix(n+5,n+5,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+5,5])}

Formula

a(n) = A111553(n+4, 4) = A111560(n+1, 0).