A364496 Numbers k such that k is a multiple of A163511(k).

0, 3, 6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144, 12288, 16383, 24576, 32766, 49152, 65532, 98304, 131064, 196608, 262128, 393216, 524256, 786432, 1048512, 1572864, 2097024, 3145728, 4194048, 6291456, 8388096, 12582912, 16776192, 25165824, 33552384, 50331648, 67104768, 100663296, 134209536, 201326592

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).

Sequence A243071(A364497(.)) sorted into ascending order.

Links

Antti Karttunen, Table of n, a(n) for n = 1..53

Example

16383 is present, because A163511(16383) = 43, as 16383 = 2^14 - 1 and A000040(14) = 43, and 43 is a factor of 16383 = 3*43*127.
536870895 is present, because A163511(536870895) = 1177 (11*107), which divides 536870895 (3*5*11*47*107*647). See also example in A364498.

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)))
isA364496(n) = !(n%A163511(n));

Crossrefs

Positions of 1's in A364492.

Subsequence of A364292.

Cf. A007283 (subsequence), A163511, A364963 (odd terms).

Cf. also A364295, A364494, A364497, A364498.

Sequence in context: A166327 A166467 A166857 * A167104 A167648 A167881

Adjacent sequences: A364493 A364494 A364495 * A364497 A364498 A364499

Keyword

nonn

Author

Antti Karttunen, Jul 27 2023

Status

approved