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A111535 a(n) = A111534(n)/n = A111528(n,n)/n for n>=1. 2
1, 2, 11, 104, 1409, 24912, 543479, 14098112, 423643509, 14464318560, 552830505347, 23375870438400, 1083128382648857, 54563592529048064, 2968656741661668975, 173460812744585863168, 10832194187368473624893 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = [x^n] (1/n)*Log( Sum_{m=0..n} (n-1+m)!/(n-1)!*x^m ) for n>=1.
a(n) ~ n! * 4^(n-1) / (sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Jul 27 2015
PROG
(PARI) {a(n)=if(n<1, 0, (1/n)*polcoeff(log(sum(m=0, n, (n-1+m)!/(n-1)!*x^m) + x*O(x^n)), 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: A277461 A277470 A343896 * A268294 A364338 A207571
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Aug 06 2005
EXTENSIONS
PARI program fixed by Vaclav Kotesovec, Jul 27 2015
STATUS
approved

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Last modified March 29 09:14 EDT 2024. Contains 371268 sequences. (Running on oeis4.)