A364497 Numbers k such that k divides A243071(k).

1, 3, 6, 12, 24, 43, 48, 86, 96, 172, 192, 344, 384, 688, 768, 1177, 1376, 1536, 2354, 2752, 3072, 3503, 4708, 5504, 6144, 7006, 9416, 11008, 12288, 14012, 18832, 22016, 24576, 28024, 37664, 44032, 49152, 49477, 56048, 75328, 88064, 98304, 98954, 112096, 150656, 169413, 176128, 196608, 197908, 224192, 301312, 338826

Offset: 1

Author

Antti Karttunen, Jul 27 2023

Keywords

• nonn

Comments

If n is present, then 2*n is also present, and vice versa.

A007283 is included as a subsequence, because it gives the known fixed points of map n -> A163511(n).

Sequence A163511(A364496(.)) sorted into ascending order.

Links

• Index entries for sequences computed from indices in prime factorization

Crossrefs

Cf. A163511, A243071.

Cf. A007283 (subsequence), A364498 (odd terms).

Cf. also A364295, A364494, A364496.

Programs

PARI

A054429(n) = ((3<<#binary(n\2))-n-1); \\ From A054429
A156552(n) = { my(f = factor(n), p, p2 = 1, res = 0); for(i = 1, #f~, p = 1 << (primepi(f[i, 1]) - 1); res += (p * p2 * (2^(f[i, 2]) - 1)); p2 <<= f[i, 2]); res };
A243071(n) = if(n<=2, n-1, A054429(A156552(n)));
isA364497(n) = !(A243071(n)%n);