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 A347516 Number of divisors of n that are at most n^(1/3). 3
 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 FORMULA G.f.: Sum_{k>=1} x^(k^3)/(1 - x^k). MATHEMATICA a[n_] := DivisorSum[n, 1 &, # <= n^(1/3) &]; Array[a, 100] (* Amiram Eldar, Sep 04 2021 *) PROG (PARI) a(n) = sumdiv(n, d, d^3<=n); (PARI) N=99; x='x+O('x^N); Vec(sum(k=1, N^(1/3), x^k^3/(1-x^k))) CROSSREFS Cf. A000005, A010057, A038548, A347517. Sequence in context: A348998 A167967 A160990 * A322357 A160989 A066788 Adjacent sequences:  A347513 A347514 A347515 * A347517 A347518 A347519 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 04 2021 STATUS approved

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Last modified January 26 13:09 EST 2022. Contains 350598 sequences. (Running on oeis4.)