%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/suminvolvingtheproductofbinomialcoefficients">sum involving the product of binomial coefficients</a>, Nov 10 2016.
%F Conjecture: a(n) ~ (2/log(3))^n * (n1)! / (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
