Voozh

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..27.

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).

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]]

CROSSREFS

Cf. A375085.