A382378 Expansion of 1/( 1 - Sum_{k>=0} x^(6^k) / (1 - x^(6^k)) ).

1, 1, 2, 4, 8, 16, 33, 66, 133, 268, 540, 1088, 2194, 4421, 8910, 17957, 36190, 72936, 146996, 296252, 597061, 1203306, 2425121, 4887544, 9850272, 19852060, 40009486, 80634401, 162509126, 327517977, 660073866, 1330301036, 2681064864, 5403370072, 10889855193, 21947218962

Offset: 0

Author

Seiichi Manyama, Mar 23 2025

Keywords

• nonn

Crossrefs

Cf. A327736, A382367, A382372, A382373.

Cf. A122841, A373216.

Formula

a(0) = 1; a(n) = Sum_{k=1..n} A373216(k) * a(n-k).

G.f.: 1/(1 - Sum_{i>=1, j>=0} x^(i*6^j)).

G.f. A(x) satisfies A(x) = 1/( 1/A(x^6) - x/(1-x) ).