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A049426 Row sums of triangle A049410. 5

%I

%S 1,1,4,16,76,436,2776,19384,148576,1226656,10824256,101695936,

%T 1010783104,10577428096,116166090496,1334409569536,15985101216256,

%U 199216504113664,2577292524107776,34542575915216896,478781761481291776

%N Row sums of triangle A049410.

%H Seiichi Manyama, <a href="/A049426/b049426.txt">Table of n, a(n) for n = 0..547</a>

%H W. Lang, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL3/LANG/lang.html">On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

%F E.g.f.: exp((-1+(1+x)^4)/4).

%F a(n) = n!*sum(k=1..n, sum(j=0..k, binomial(4*j,n)*(-1)^(k-j)/(4^k*(k-j)!*j!))). - _Vladimir Kruchinin_, Feb 07 2011

%t With[{nn=20},CoefficientList[Series[Exp[((1+x)^4-1)/4],{x,0,nn}],x] Range[ 0,nn]!] (* _Harvey P. Dale_, Jan 28 2017 *)

%K easy,nonn

%O 0,3

%A _Wolfdieter Lang_

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Last modified May 12 13:46 EDT 2021. Contains 343823 sequences. (Running on oeis4.)