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

%I #8 Jul 27 2015 04:03:31

%S 1,2,11,104,1409,24912,543479,14098112,423643509,14464318560,

%T 552830505347,23375870438400,1083128382648857,54563592529048064,

%U 2968656741661668975,173460812744585863168,10832194187368473624893

%N a(n) = A111534(n)/n = A111528(n,n)/n for n>=1.

%H Vaclav Kotesovec, <a href="/A111535/b111535.txt">Table of n, a(n) for n = 1..364</a>

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

%F a(n) ~ n! * 4^(n-1) / (sqrt(Pi) * n^(3/2)). - _Vaclav Kotesovec_, Jul 27 2015

%o (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))}

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

%K nonn

%O 1,2

%A _Paul D. Hanna_, Aug 06 2005

%E PARI program fixed by _Vaclav Kotesovec_, Jul 27 2015

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)