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A041001 Convolution of A000108(n+1), n >= 0, (Catalan numbers) with A038845 (3-fold convolution of powers of 4). 2

%I

%S 1,14,125,906,5810,34364,191901,1026610,5312230,26767940,131990066,

%T 639210404,3048892740,14354652152,66828135005,308078809794,

%U 1408022619806,6385966846580,28765327498278,128777533131500

%N Convolution of A000108(n+1), n >= 0, (Catalan numbers) with A038845 (3-fold convolution of powers of 4).

%C Also convolution of A038836 with A000984 (central binomial coefficients); also convolution of A001791(n+1), n >= 0, with A002802; also convolution of A008549(n+1), n >= 0, with A002697; also convolution of A029760 with A002457; also convolution of A038806(n+1), n >= 0, with A000302 (powers of 4).

%F a(n) = (n+3)*(3*(n+6)*2^(2*n+3)-(n+4)*binomial(2*n+7, n+3))/12; G.f. (c(x)^2)/(1-4*x)^3, where c(x) = g.f. for Catalan numbers.

%K easy,nonn

%O 0,2

%A _Wolfdieter Lang_

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Last modified April 17 13:04 EDT 2021. Contains 343063 sequences. (Running on oeis4.)