A364494 Numbers k such that k divides A163511(k).

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 105, 128, 144, 192, 210, 256, 288, 384, 420, 429, 512, 576, 768, 840, 858, 1024, 1152, 1365, 1536, 1617, 1680, 1716, 2048, 2304, 2730, 3072, 3234, 3360, 3432, 3887, 4096, 4235, 4608, 5460, 6144, 6468, 6720, 6864, 7774, 8192, 8470, 9216, 10829, 10920, 12288

Offset

1,2

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).

Links

Table of n, a(n) for n=1..62.

Prog

(PARI)
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t };
A054429(n) = ((3<<#binary(n\2))-n-1);
A163511(n) = if(!n, 1, A005940(1+A054429(n)))
isA364494(n) = !(A163511(n)%n);

Crossrefs

Positions of 1's in A364491.

Cf. A163511.

Subsequences: A007283, A029744, A364495 (odd terms).

Cf. also A364295, A364496, A364497.

Sequence in context: A018452 A115422 A364295 * A344472 A018528 A018376

Adjacent sequences: A364491 A364492 A364493 * A364495 A364496 A364497

Keyword

nonn

Author

Antti Karttunen, Jul 27 2023

Status

approved