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A111542 Column 1 of triangle A111541, which is the matrix logarithm of A111536. 2
0, 2, 5, 22, 128, 896, 7220, 65336, 653720, 7155104, 84998768, 1089232160, 14981704736, 220233312896, 3447195190592, 57261708795776, 1006401042534272, 18663532970127872, 364283224523605760, 7466218532765196800 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 27 03:09 EST 2022. Contains 350601 sequences. (Running on oeis4.)