A111542 Column 1 of triangle A111541, which is the matrix logarithm of A111536.

0, 2, 5, 22, 128, 896, 7220, 65336, 653720, 7155104, 84998768, 1089232160, 14981704736, 220233312896, 3447195190592, 57261708795776, 1006401042534272, 18663532970127872, 364283224523605760, 7466218532765196800

Offset

0,2

Comments

Column 0 of triangle A111541 is A111536.

Links

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

Prog

(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+1)!/1!*x^i)), m-j-1))))); if(n<0, 0, sum(i=1, #M, (M^0-M)^i/i)[n+2, 2])}

Crossrefs

Cf. A111541 (triangle), A111538 (column 0), A111543 (column 2), A111536.

Sequence in context: A066305 A020093 A329260 * A342432 A246542 A001437

Adjacent sequences: A111539 A111540 A111541 * A111543 A111544 A111545

Keyword

nonn

Author

Paul D. Hanna, Aug 06 2005

Status

approved