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.

A246590 Even numbers whose odd part is of the form 4m+3; Numbers missing from A241816.

Original entry on oeis.org

6, 12, 14, 22, 24, 28, 30, 38, 44, 46, 48, 54, 56, 60, 62, 70, 76, 78, 86, 88, 92, 94, 96, 102, 108, 110, 112, 118, 120, 124, 126, 134, 140, 142, 150, 152, 156, 158, 166, 172, 174, 176, 182, 184, 188, 190, 192, 198, 204, 206, 214, 216, 220, 222, 224, 230, 236
Offset: 1

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Author

N. J. A. Sloane, Sep 03 2014

Keywords

Comments

Numbers with bit-0 in their binary representation zero, and whose least significant 1-bit is neighbored (to the left) by another 1-bit, in other words, all even terms of A091067. - Antti Karttunen, Feb 20 2015
The asymptotic density of this sequence is 1/4. - Amiram Eldar, Aug 31 2024

Crossrefs

Complement of A241816.
Cf. A091067.

Programs

  • Mathematica
    Select[2 * Range[120], Mod[# / 2^IntegerExponent[#, 2], 4] == 3 &] (* Amiram Eldar, Aug 31 2024 *)
  • PARI
    is(k) = !(k % 2) && (k >> valuation(k, 2)) % 4 == 3; \\ Amiram Eldar, Aug 31 2024

Formula

a(n) = 2*A091067(n). - Antti Karttunen, Feb 20 2015

Extensions

More terms from Alois P. Heinz, Sep 07 2014
New definition added to name by Antti Karttunen, Feb 20 2015