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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A380931 Numbers k such that A380845(k) > 4*k.

Original entry on oeis.org

5155920, 7733880, 10311840, 15467760, 20623680, 30935520, 41247360, 46403280, 61871040, 61901280, 75546240, 82494720, 87693480, 92806560, 103168800, 103194000, 113513400, 123742080, 123802560, 134152200, 140540400, 151092480, 151351200, 162162000, 164989440, 175386960
Offset: 1

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Author

Amiram Eldar, Feb 08 2025

Keywords

Comments

Analogous to 4-abundant numbers (A068404) with A380845 instead of A000203.

Examples

			5155920 is a term since A380845(5155920) = 21067042 > 4 * 5155920 = 20623680.
		

Crossrefs

Subsequence of A068404, A380929 and A380931.
Similar sequences: A307114, A340110.

Programs

  • Mathematica
    q[k_] := Module[{h = DigitCount[k, 2, 1]}, DivisorSum[k, # &, DigitCount[#, 2, 1] == h &] > 4*k]; Select[Range[10^8], q]
  • PARI
    isok(k) = {my(h = hammingweight(k)); sumdiv(k, d, d*(hammingweight(d) == h)) > 4*k;}
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