A373282 Expansion of Sum_{k>=0} x^(6^k) / (1 - 6*x^(6^k)).

1, 6, 36, 216, 1296, 7777, 46656, 279936, 1679616, 10077696, 60466176, 362797062, 2176782336, 13060694016, 78364164096, 470184984576, 2821109907456, 16926659444772, 101559956668416, 609359740010496, 3656158440062976, 21936950640377856

Offset: 1

Author

Seiichi Manyama, May 30 2024

Keywords

• nonn

Links

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

Crossrefs

Cf. A187767, A373279, A373280, A373281, A373283.

Cf. A000400, A373216.

Formula

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

If n == 0 (mod 6), a(n) = 6^n + a(n/6) otherwise a(n) = 6^n.