The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A274600 Coefficients in an asymptotic expansion of sequence A002893. 2

%I #12 Nov 11 2016 03:42:53

%S 1,-1,1,2,7,59,616,6992,90847,1352549,22591681,417527582,8465505412,

%T 186906393764,4463901355096,114672825810272,3153127461349327,

%U 92405864554182329,2875362251645606611,94680648376734042062,3289274269898822961967,120235993277078434540619

%N Coefficients in an asymptotic expansion of sequence A002893.

%H Vaclav Kotesovec, <a href="/A274600/b274600.txt">Table of n, a(n) for n = 0..80</a>

%H Mathematics.StackExchange, <a href="http://math.stackexchange.com/questions/2006632/sum-involving-the-product-of-binomial-coefficients">sum involving the product of binomial coefficients</a>, Nov 10 2016.

%F Conjecture: a(n) ~ (2/log(3))^n * (n-1)! / (Pi*sqrt(3)).

%e A002893(n) ~ 3^(2*n+3/2)/(4*Pi*n) * (1 - 1/(4*n) + 1/(4*n)^2 + 2/(4*n)^3 + 7/(4*n)^4 + 59/(4*n)^5 + ...)

%Y Cf. A002893.

%K sign

%O 0,4

%A _Vaclav Kotesovec_, Nov 10 2016

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.

Last modified June 12 23:56 EDT 2024. Contains 373362 sequences. (Running on oeis4.)