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Expansion of 1/(1 - x/(1 - 16*x^8)^(1/8)).
1

%I #9 Jun 07 2024 11:14:17

%S 1,1,1,1,1,1,1,1,1,3,5,7,9,11,13,15,17,37,61,89,121,157,197,241,289,

%T 545,877,1293,1801,2409,3125,3957,4913,8551,13469,19891,28057,38223,

%U 50661,65659,83521,138227,213997,315575,448297,618123,831669,1096239,1419857

%N Expansion of 1/(1 - x/(1 - 16*x^8)^(1/8)).

%F a(8*n) = 17^(n-1) for n > 0.

%F a(n) = Sum_{k=0..floor(n/8)} 16^k * binomial(n/8-1,k).

%o (PARI) a(n) = sum(k=0, n\8, 16^k*binomial(n/8-1, k));

%Y Cf. A098615, A373509.

%K nonn

%O 0,10

%A _Seiichi Manyama_, Jun 07 2024