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

0,3

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.

Cf. A000079, A000302, A000346, A000984, A001791, A007582.

Sequence in context: A084205 A118099 A066350 * A148784 A148785 A148786

Adjacent sequences: A375083 A375084 A375085 * A375087 A375088 A375089

Keyword

nonn

Author

Stefano Spezia, Jul 29 2024

Status

approved