A373189 - OEIS

%I #8 May 27 2024 09:56:29

%S 1,3,6,11,15,21,28,39,45,55,66,84,91,105,120,147,153,171,190,225,231,

%T 253,276,321,325,351,378,434,435,465,496,567,561,595,630,711,703,741,

%U 780,875,861,903,946,1056,1035,1081,1128,1260,1225,1275,1326,1469,1431,1485,1540,1701

%N Expansion of Sum_{k>=0} x^(4^k) / (1 - x^(4^k))^3.

%F G.f. A(x) satisfies A(x) = x/(1 - x)^3 + A(x^4).

%F a(4*n+1) = A000217(4*n+1), a(4*n+2) = A000217(4*n+2), a(4*n+3) = A000217(4*n+3) and a(4*n+4) = A000217(4*n+4) + a(n+1) for n >= 0.

%Y Cf. A373187, A373188.

%Y Cf. A000217.

%K nonn

%O 1,2

%A _Seiichi Manyama_, May 27 2024