cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A365470 (2,6)-imperfect numbers.

Original entry on oeis.org

6, 12, 24, 30, 60, 120, 252, 384, 510, 864, 1020, 1260, 1920, 2040, 2640, 5418, 12960, 21420, 21672, 32640, 75852, 98304, 108864, 131070, 262140, 346752, 379260, 491520, 524280, 1982988, 2296728, 5504940, 6447420, 8355840, 8388480, 36747648, 39009600, 57024000
Offset: 1

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Author

Michel Marcus, Sep 11 2023

Keywords

Comments

Based on testing the first 38 terms, it seems this is a subsequence of Zumkeller numbers (A083207). - Ivan N. Ianakiev, Sep 12 2023

Crossrefs

Cf. A127725 (2-imperfect), A206367 ((2,3)-imperfect).
Cf. A206369 (beta).
Subsequence of A008588.

Programs

  • Mathematica
    beta[n_]:=Sum[d*LiouvilleLambda[n/d],{d,Divisors[n]}]; Select[Range[5500],#==6*beta[beta[#]]&] (* Ivan N. Ianakiev, Sep 12 2023 *)
  • PARI
    beta(n) = sumdiv(n, d, d*(-1)^bigomega(n/d));
    isok(k) = 6*beta(beta(k)) == k;
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