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

0,2

Links

Table of n, a(n) for n=0..19.

Prog

(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])}

Crossrefs

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

Sequence in context: A362362 A020111 A367640 * A276939 A188327 A024039

Adjacent sequences: A111540 A111541 A111542 * A111544 A111545 A111546

Keyword

nonn

Author

Paul D. Hanna, Aug 06 2005

Status

approved