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Expansion of (-1+1/(1-4*x)^4)/(16*x); related to A038846.
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%I #8 Oct 01 2023 12:09:23

%S 1,10,80,560,3584,21504,122880,675840,3604480,18743296,95420416,

%T 477102080,2348810240,11408506880,54760833024,260113956864,

%U 1224065679360,5712306503680,26456998543360,121702193299456

%N Expansion of (-1+1/(1-4*x)^4)/(16*x); related to A038846.

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

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (16, -96, 256, -256).

%F a(n) = 4^(n-1)*binomial(n+4, 3); G.f. (-1+(1-4*x)^(-4))/(x*4^2).

%Y Cf. A038846, A001787. a(n)= A030526(n+1, 1) (first column of triangle).

%K easy,nonn

%O 0,2

%A _Wolfdieter Lang_