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

1,1

Links

Table of n, a(n) for n=1..60.

Prog

(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(d<n, A065043(n/d)*A359763(d), 0)); mapput(memoA359763, n, v); (v)));
A359764(n) = (A359763(n)%2);
isA359767(n) = (A065043(n)&&!(A359764(n)));

Crossrefs

Cf. A065043, A359763, A359764, A359765.

Cf. also A359784.

Setwise difference A028260 \ A359765.

Setwise difference A359766 \ A026424.

Subsequence of A013929.

Sequence in context: A377563 A103843 A347747 * A253260 A144548 A161753

Adjacent sequences: A359764 A359765 A359766 * A359768 A359769 A359770

Keyword

nonn

Author

Antti Karttunen, Jan 13 2023

Status

approved