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Expansion of 1 / ( (1 - x)*(1 + 5*x)*(1 - 25*x) )^(1/3).
1

%I #9 Mar 10 2024 09:28:16

%S 1,7,133,2539,53305,1155679,25714333,582045667,13346038321,

%T 309067047415,7213999049845,169466050348315,4002188759121385,

%U 94941811661199055,2260887088517478925,54017663776267303315,1294331605116743179105,31092684363296020670695

%N Expansion of 1 / ( (1 - x)*(1 + 5*x)*(1 - 25*x) )^(1/3).

%F a(n) ~ 5^(2*n+1) / (Gamma(1/3) * 2^(4/3) * 3^(2/3) * n^(2/3)). - _Vaclav Kotesovec_, Mar 10 2024

%o (PARI) my(N=20, x='x+O('x^N)); Vec(1/((1-x)*(1+5*x)*(1-25*x))^(1/3))

%Y Cf. A370779.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Mar 01 2024