A373216 - OEIS

A373216

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

1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3

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OFFSET

1,6

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

FORMULA

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

a(6*n+1) = a(6*n+2) = ... = (6*n+5) = 1 and a(6*n+6) = 1 + a(n+1) for n >= 0.

a(n) = A122841(n) + 1.

PROG

(PARI) a(n) = valuation(n, 6)+1;

CROSSREFS