A382373 Expansion of 1/( 1 - Sum_{k>=0} x^(5^k) / (1 - x^(5^k)) ).

1, 1, 2, 4, 8, 17, 34, 69, 140, 284, 578, 1173, 2382, 4837, 9822, 19948, 40508, 82261, 167050, 339233, 688896, 1398964, 2840926, 5769169, 11715654, 23791402, 48314044, 98113049, 199241660, 404607125, 821650100, 1668554099, 3388392198, 6880928638, 13973346686

Offset: 0

Author

Seiichi Manyama, Mar 23 2025

Keywords

• nonn

Crossrefs

Cf. A327736, A382367, A382372, A382378.

Cf. A055457.

Formula

a(0) = 1; a(n) = Sum_{k=1..n} A055457(k) * a(n-k).

G.f.: 1/(1 - Sum_{i>=1, j>=0} x^(i*5^j)).

G.f. A(x) satisfies A(x) = 1/( 1/A(x^5) - x/(1-x) ).