A359455 - OEIS

A359455

Expansion of Sum_{k>0} x^k / (1 - x^(k^3)).

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

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OFFSET

1,2

COMMENTS

Number of divisors d of n such that d^3 | (n - d).

LINKS

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

MATHEMATICA

a[n_] := DivisorSum[n, 1 &, Divisible[n-#, #^3] &]; Array[a, 100] (* Amiram Eldar, Aug 14 2023 *)

PROG

(PARI) a(n) = sumdiv(n, d, (n-d)%d^3==0);

CROSSREFS