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A111534 Main diagonal of table A111528. 7
1, 1, 4, 33, 416, 7045, 149472, 3804353, 112784896, 3812791581, 144643185600, 6081135558817, 280510445260800, 14080668974435141, 763890295406672896, 44529851124925034625, 2775373003913373810688, 184147301185264051623181 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

For n>0, a(n) is divisible by n: a(n)/n = A111535(n).

FORMULA

a(n) = [x^n] Log( Sum_{m=0..n} (n-1+m)!/(n-1)!*x^m.

PROG

(PARI) {a(n)=if(n<0, 0, if(n==0, 1, polcoeff(log(sum(m=0, n, (n-1+m)!/(n-1)!*x^m)), n)))}

CROSSREFS

Cf: A111528 (table), A003319 (row 1), A111529 (row 2), A111530 (row 3), A111531 (row 4), A111532 (row 5), A111533 (row 6).

Sequence in context: A198900 A166906 A156132 * A162655 A052885 A192548

Adjacent sequences:  A111531 A111532 A111533 * A111535 A111536 A111537

KEYWORD

nonn

AUTHOR

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

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Last modified February 14 14:47 EST 2012. Contains 205623 sequences.