A375086 Row sums of A375085.
0, 1, 3, 8, 24, 78, 268, 956, 3496, 12998, 48876, 185268, 706456, 2706204, 10404696, 40124792, 155133904, 601113158, 2333671756, 9075266372, 35345525944, 137847053108, 538258923016, 2104101060872, 8233434921904, 32247612071708, 126410623214968, 495918566502536
Offset: 0
Keywords
Programs
-
Mathematica
a[n_]:=(2^(n+1)+4^n+4Binomial[2n-2,n-1]-8Binomial[2n-2,n-2]Hypergeometric2F1[1,2-n,1+n,-1])/8; Join[{0,1},Array[a,26,2]]
Formula
a(n) = (2^(n+1) + 4^n + 4*binomial(2*n-2,n-1) - 8*binomial(2*n-2,n-2)*hypergeom([1, 2-n], [1+n], -1))/8 for n > 1.
a(n) ~ A007582(n+2).