A111543 Column 2 of triangle A111541, which is the matrix logarithm of A111536.

0, 3, 8, 36, 212, 1496, 12128, 110288, 1108064, 12171872, 145061120, 1864321472, 25710635648, 378871778432, 5943632568320, 98936446059776, 1742232571097600, 32367994818881024, 632845309575139328, 12991224275641441280

Offset: 0

Author

Paul D. Hanna, Aug 06 2005

Keywords

• nonn

Crossrefs

Cf. A111541 (triangle), A111538 (column 0), A111542 (column 1), A111536.

Programs

PARI

{a(n)=local(M=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))))); if(n<0,0,sum(i=1,#M,(M^0-M)^i/i)[n+3,3])}