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.

A325432 Complement of A325431.

Original entry on oeis.org

3, 4, 6, 8, 15, 20, 21, 27, 28, 30, 33, 36, 39, 40, 42, 44, 48, 51, 52, 54, 56, 57, 64, 66, 68, 69, 72, 75, 76, 78, 87, 88, 92, 93, 96, 100, 102, 104, 105, 111, 114, 116, 123, 124, 128, 129, 135, 136, 138, 140, 141, 147, 148, 150, 152, 159, 164, 165, 172
Offset: 1

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Author

Clark Kimberling, May 01 2019

Keywords

Comments

These are the numbers 3x and 4x as x ranges through the numbers x > 1 in A325431.
Equivalently, numbers k whose exponent of the highest power of 3 dividing k and exponent of the highest power of 4 dividing k have an opposite parity. The asymptotic density of this sequence is 7/20. - Amiram Eldar, Sep 20 2020

Crossrefs

Programs

  • Mathematica
    a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or,
    Map[MemberQ[a, #] &, Select[Flatten[{#/3, #/4}],
    IntegerQ]]] &]], {150}]; a          (* A325431 *)
    Complement[Range[Last[a]], a]       (* A325432 *)
    (* Peter J. C. Moses, Apr 25 2019 *)
    Select[Range[100], !Equal @@ Mod[IntegerExponent[#, {3, 4}], 2] &] (* Amiram Eldar, Sep 20 2020 *)