A305794 a(n) = Product_{d|n, d>1} prime(A286622(d)-1).

1, 2, 3, 4, 5, 18, 7, 8, 15, 50, 11, 108, 11, 98, 195, 16, 5, 450, 11, 500, 357, 242, 19, 648, 55, 242, 345, 1372, 19, 76050, 29, 32, 165, 50, 385, 13500, 17, 242, 627, 5000, 17, 254898, 31, 5324, 30225, 722, 37, 3888, 77, 6050, 345, 5324, 31, 238050, 2255, 19208, 627, 722, 41, 29659500, 37, 1682, 76755, 64, 275, 54450, 11, 500, 969, 296450, 19, 405000, 17

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..8192

Formula

a(n) = Product_{d|n, d>1} A008578(A286622(d)).

For all k >= 0, a(2^k) = 2^k.

Prog

(PARI) A305794(n) = { my(m=1); fordiv(n, d, if(d>1, m *= prime(A286622(d)-1))); (m); }; \\ Needs also code from A286622.

Crossrefs

Cf. A008578, A278222, A286622, A305792, A305795 (rgs-transform).

Cf. also A304104.

Sequence in context: A283653 A162657 A333046 * A317944 A145520 A337559

Adjacent sequences: A305791 A305792 A305793 * A305795 A305796 A305797

Keyword

nonn

Author

Antti Karttunen, Jun 11 2018

Status

approved