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Search: id:A111542
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A111542 Column 1 of triangle A111541, which is the matrix logarithm of A111536. +0
3
0, 2, 5, 22, 128, 896, 7220, 65336, 653720, 7155104, 84998768, 1089232160, 14981704736, 220233312896, 3447195190592, 57261708795776, 1006401042534272, 18663532970127872, 364283224523605760, 7466218532765196800 (list; graph; listen)
OFFSET

0,2

COMMENT

Column 0 of triangle A111541 is A111536.

PROGRAM

(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: A015557 A066305 A020093 this_sequence A001437 A067549 A042933

Adjacent sequences: A111539 A111540 A111541 this_sequence A111543 A111544 A111545

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 06 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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