%I #16 Jul 19 2024 08:45:51

%S 3,4,15,18,20,21,24,28,32,33,39,44,51,52,57,68,69,75,76,81,87,90,92,

%T 93,100,105,108,111,116,120,123,124,126,129,140,141,144,147,148,159,

%U 160,164,165,168,172,177,183,188,192,195,196,198,201,212,213,219,220,224,231,234,236,237,244,249,255,256,260,264,267

%N Numbers k for which A276085(k) == -1 (mod 3), where A276085 is the primorial base log-function.

%C Numbers k such that the 2-adic valuation of k minus the 3-adic valuation of k is equal to -1 modulo 3.

%C When terms are multiplied by 2, forms a subsequence of A339746 (its even terms), and when multiplied by 3, forms a subsequence of A373261 (its multiples of 3).

%C More widely stated, the sequence lists one part of a 3-part partition of the positive integers with a symmetric relationship between the parts (further explained in the 2021 comment in A339746). - _Peter Munn_, Jul 19 2024

%H Antti Karttunen, <a href="/A373262/b373262.txt">Table of n, a(n) for n = 1..10000</a>

%F {k such that A007814(k)-A007949(k) == -1 (mod 3)}.

%o (PARI) isA373262 = A373263;

%Y Cf. A007814, A007949, A276085, A373263 (characteristic function).

%Y Positions of -1's in A373153.

%Y The positive integers are partitioned between A339746, A373261, and this sequence.

%K nonn

%O 1,1

%A _Antti Karttunen_, May 30 2024