A373187 Expansion of Sum_{k>=0} x^(4^k) / (1 - x^(4^k))^4.

1, 4, 10, 21, 35, 56, 84, 124, 165, 220, 286, 374, 455, 560, 680, 837, 969, 1140, 1330, 1575, 1771, 2024, 2300, 2656, 2925, 3276, 3654, 4144, 4495, 4960, 5456, 6108, 6545, 7140, 7770, 8601, 9139, 9880, 10660, 11700, 12341, 13244, 14190, 15466, 16215, 17296, 18424

Offset

1,2

Links

Table of n, a(n) for n=1..47.

Formula

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

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.

Crossrefs

Cf. A129527, A373186.

Cf. A373188, A373189.

Cf. A000292.

Sequence in context: A038404 A024985 A301128 * A363607 A008145 A038407

Adjacent sequences: A373184 A373185 A373186 * A373188 A373189 A373190

Keyword

nonn

Author

Seiichi Manyama, May 27 2024

Status

approved