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A373280 Expansion of Sum_{k>=0} x^(4^k) / (1 - 4*x^(4^k)). 5

%I #11 May 30 2024 09:51:58

%S 1,4,16,65,256,1024,4096,16388,65536,262144,1048576,4194320,16777216,

%T 67108864,268435456,1073741889,4294967296,17179869184,68719476736,

%U 274877907200,1099511627776,4398046511104,17592186044416,70368744178688,281474976710656,1125899906842624

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

%H Seiichi Manyama, <a href="/A373280/b373280.txt">Table of n, a(n) for n = 1..1000</a>

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

%F If n == 0 (mod 4), a(n) = 4^n + a(n/4) otherwise a(n) = 4^n.

%Y Cf. A187767, A373279, A373281, A373282, A373283.

%Y Cf. A000302, A115362.

%K nonn

%O 1,2

%A _Seiichi Manyama_, May 30 2024

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Last modified September 13 00:40 EDT 2024. Contains 375857 sequences. (Running on oeis4.)