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

1, 4, 16, 65, 256, 1024, 4096, 16388, 65536, 262144, 1048576, 4194320, 16777216, 67108864, 268435456, 1073741889, 4294967296, 17179869184, 68719476736, 274877907200, 1099511627776, 4398046511104, 17592186044416, 70368744178688, 281474976710656, 1125899906842624

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Formula

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

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

Crossrefs

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

Cf. A000302, A115362.

Sequence in context: A345365 A013149 A175065 * A033140 A181879 A243872

Adjacent sequences: A373277 A373278 A373279 * A373281 A373282 A373283

Keyword

nonn

Author

Seiichi Manyama, May 30 2024

Status

approved