A111543 - OEIS

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

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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