A246590 - OEIS

A246590

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

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

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OFFSET

1,1

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

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

FORMULA

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

MATHEMATICA

Select[2 * Range[120], Mod[# / 2^IntegerExponent[#, 2], 4] == 3 &] (* Amiram Eldar, Aug 31 2024 *)

PROG

(PARI) is(k) = !(k % 2) && (k >> valuation(k, 2)) % 4 == 3; \\ Amiram Eldar, Aug 31 2024

CROSSREFS

Complement of A241816.

Cf. A091067.