login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Vaclav Kotesovec, Table of n, a(n) for n = 1..364

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 A207571 A278070

Adjacent sequences:  A111532 A111533 A111534 * A111536 A111537 A111538

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Aug 06 2005

EXTENSIONS

PARI program fixed by Vaclav Kotesovec, Jul 27 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 19 18:16 EST 2022. Contains 350466 sequences. (Running on oeis4.)