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A110206 Row sums of triangle A110205, where A110205(n,k) equals the sum of cubes of numbers < 2^n having exactly k ones in their binary expansion. 2

%I #5 Jul 03 2023 08:06:54

%S 1,36,784,14400,246016,4064256,66064384,1065369600,17112825856,

%T 274341298176,4393752592384,70334388633600,1125625045712896,

%U 18012199553335296,288212784234102784,4611545282012774400

%N Row sums of triangle A110205, where A110205(n,k) equals the sum of cubes of numbers < 2^n having exactly k ones in their binary expansion.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (28, -224, 512).

%F G.f.: x*(1+8*x)/( (1-4*x)*(1-8*x)*(1-16*x) ).

%o (PARI) a(n)=polcoeff(x*(1+8*x)/((1-4*x)*(1-8*x)*(1-16*x)+x*O(x^n)),n)

%Y Cf. A110205 (triangle), A110207 (central terms).

%K nonn

%O 1,2

%A _Paul D. Hanna_, Jul 16 2005

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Last modified April 27 14:49 EDT 2024. Contains 372019 sequences. (Running on oeis4.)