A373187 - OEIS

%I #11 May 27 2024 09:56:20

%S 1,4,10,21,35,56,84,124,165,220,286,374,455,560,680,837,969,1140,1330,

%T 1575,1771,2024,2300,2656,2925,3276,3654,4144,4495,4960,5456,6108,

%U 6545,7140,7770,8601,9139,9880,10660,11700,12341,13244,14190,15466,16215,17296,18424

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

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

%F a(4*n+1) = A000292(4*n+1), a(4*n+2) = A000292(4*n+2), a(4*n+3) = A000292(4*n+3) and a(4*n+4) = A000292(4*n+4) + a(n+1) for n >= 0.

%Y Cf. A129527, A373186.

%Y Cf. A373188, A373189.

%Y Cf. A000292.

%K nonn

%O 1,2

%A _Seiichi Manyama_, May 27 2024