A373715 Expansion of 1/(2 - (1 + 4*x)^(3/2)).

1, 6, 42, 284, 1938, 13188, 89828, 611640, 4165218, 28363252, 193145388, 1315249800, 8956413716, 60990068520, 415321615368, 2828197518960, 19259058052098, 131147584691796, 893070155862492, 6081501856336488, 41412945154765212, 282007973308889592

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Formula

a(n) = 4^n * Sum_{k>=0} (1/2)^(k+1) * binomial(3*k/2,n).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(1/(2-(1+4*x)^(3/2)))

Crossrefs

Cf. A126984, A373816.

Sequence in context: A229247 A105482 A242158 * A157335 A057089 A110711

Adjacent sequences: A373712 A373713 A373714 * A373716 A373717 A373718

Keyword

nonn,easy

Author

Seiichi Manyama, Aug 04 2024

Status

approved