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

Author

Seiichi Manyama, Aug 04 2024

Keywords

• nonn
• easy

Crossrefs

Cf. A126984, A373816.

Programs

PARI

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

Formula

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