A364495 Odd numbers k such that k divides A163511(k).

1, 3, 9, 105, 429, 1365, 1617, 3887, 4235, 10829, 14025, 17745, 21125, 22627, 38025, 54587, 70805, 100555, 115159, 147875, 168751, 169065, 175769, 181447, 181545, 291525, 297297, 303875, 338675, 350987, 501787, 513825, 518035, 549081, 560947, 566865, 594473, 624169, 676039, 735875, 745147, 831875, 869193, 957125

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..801

Example

For n = 513825 = 3 * 5^2 * 13 * 17 * 31, A163511(n) = 13873275 = 3^4 * 5^2 * 13 * 17 * 31, so A163511(n)/n = 27 (which is an integer), and therefore 513825 is included in this sequence.

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)))
A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
isA364495(n) = ((n%2)&&!(A163511(n)%n));

Crossrefs

Odd terms in A364494.

After 1, sequence A243071(A364965(n)), for n>=1, sorted into ascending order.

Cf. A163511.

Cf. also A364296, A364498, A364545, A364963.

Sequence in context: A227772 A125652 A232701 * A340483 A018746 A289070

Adjacent sequences: A364492 A364493 A364494 * A364496 A364497 A364498

Keyword

nonn

Author

Antti Karttunen, Jul 27 2023

Status

approved