A046733 Periods for divisibility of A000213 by n.

1, 1, 13, 1, 31, 1, 16, 1, 13, 1, 110, 1, 56, 1, 403, 1, 96, 1, 120, 1, 208, 1, 553, 1, 31, 1, 1, 1, 140, 1, 331, 1, 1430, 1, 496, 1, 469, 1, 728, 1, 560, 1, 308, 1, 403, 1, 46, 1, 112, 1, 1248, 1, 52, 1, 3410, 1, 1560, 1, 3541, 1, 620, 1, 208, 1, 1736, 1

Offset

1,3

Comments

If a(n) > 1, then n divides A000213(t + k * a(n)) for some specific value of t and all nonnegative integers k. a(n)=1, n > 1, implies there is no solution. - Sean A. Irvine, Apr 19 2021

Links

Table of n, a(n) for n=1..66.

Formula

a(2*n) = 1. - Sean A. Irvine, Apr 19 2021

More generally, a(k*m) = 1 for m in A046735 and all k >= 1. - Sean A. Irvine, Apr 19 2021

Crossrefs

Cf. A000213.

Sequence in context: A040181 A123187 A272797 * A357312 A291449 A278345

Adjacent sequences: A046730 A046731 A046732 * A046734 A046735 A046736

Keyword

nonn

Author

David W. Wilson

Extensions

a(25) corrected by Sean A. Irvine, Apr 19 2021

Status

approved