A111561 Column 1 of A111560, which is the matrix log of A111553.

0, 2, 7, 44, 354, 3328, 35144, 407984, 5137824, 69566144, 1006372864, 15481560064, 252326173824, 4344015683584, 78793242566144, 1502374856981504, 30052439647908864, 629485600310349824, 13783057303819485184

Offset: 0

Author

Paul D. Hanna, Aug 07 2005

Keywords

• nonn

Crossrefs

Cf. A111560, A111553.

Programs

PARI

{a(n)=local(M=matrix(n+2,n+2,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))))); if(n<0,0,sum(i=1,#M,(M^0-M)^i/i)[n+2,2])}