A359767 Numbers k such that A065043(k) = 1 but A359764(k) = 0, where A359764 is the parity of Dirichlet inverse of the former (which is the characteristic function of the numbers with an even number of prime factors).

16, 36, 64, 81, 96, 100, 160, 196, 216, 224, 225, 240, 256, 336, 352, 360, 384, 416, 441, 484, 486, 504, 528, 540, 544, 560, 576, 600, 608, 624, 625, 640, 676, 729, 736, 756, 792, 810, 816, 880, 896, 900, 912, 928, 936, 960, 992, 1000, 1024, 1040, 1089, 1104, 1134, 1156, 1176, 1184, 1188, 1215, 1224, 1225

Offset: 1

Author

Antti Karttunen, Jan 13 2023

Keywords

• nonn

Crossrefs

Cf. A065043, A359763, A359764, A359765.

Cf. also A359784.

Setwise difference A028260 \ A359765.

Setwise difference A359766 \ A026424.

Subsequence of A013929.

Programs

PARI

A065043(n) = (1 - (bigomega(n)%2));
memoA359763 = Map();
A359763(n) = if(1==n,1,my(v); if(mapisdefined(memoA359763,n,&v), v, v = -sumdiv(n,d,if(dA065043(n/d)*A359763(d),0)); mapput(memoA359763,n,v); (v)));
A359764(n) = (A359763(n)%2);
isA359767(n) = (A065043(n)&&!(A359764(n)));