A374473 - OEIS

A374473

Numbers k such that bigomega(k) and A064547(k) are not both even, where A064547 is the count of 1-bits in the exponents of the prime factorization of n, and bigomega is the number of prime factors of n (with multiplicity).

%I #7 Jul 14 2024 15:16:39

%S 2,3,4,5,7,8,9,11,12,13,16,17,18,19,20,23,24,25,27,28,29,30,31,32,37,

%T 40,41,42,43,44,45,47,48,49,50,52,53,54,56,59,60,61,63,66,67,68,70,71,

%U 72,73,75,76,78,79,80,81,83,84,88,89,90,92,96,97,98,99,101,102,103,104,105,107,108,109,110,112,113,114

%N Numbers k such that bigomega(k) and A064547(k) are not both even, where A064547 is the count of 1-bits in the exponents of the prime factorization of n, and bigomega is the number of prime factors of n (with multiplicity).

%H Antti Karttunen, <a href="/A374473/b374473.txt">Table of n, a(n) for n = 1..12000</a>

%o (PARI) isA374473(n) = !A374471(n);

%Y Cf. A001222, A064547, A374471, A374472 (complement).

%Y Indices of odd terms in A374470.

%Y Union of A000028 and A026424. Their intersection A374467 is a subsequence.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jul 14 2024