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

%I #11 Aug 04 2024 10:15:04

%S 1,6,42,284,1938,13188,89828,611640,4165218,28363252,193145388,

%T 1315249800,8956413716,60990068520,415321615368,2828197518960,

%U 19259058052098,131147584691796,893070155862492,6081501856336488,41412945154765212,282007973308889592

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

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

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

%Y Cf. A126984, A373816.

%K nonn,easy

%O 0,2

%A _Seiichi Manyama_, Aug 04 2024