A305792 a(n) = Product_{d|n, d<n} prime(A286622(d)-1).

1, 2, 2, 4, 2, 12, 2, 8, 6, 20, 2, 72, 2, 28, 30, 16, 2, 180, 2, 200, 42, 44, 2, 432, 10, 44, 30, 392, 2, 11700, 2, 32, 66, 20, 70, 5400, 2, 44, 66, 2000, 2, 29988, 2, 968, 1950, 76, 2, 2592, 14, 1100, 30, 968, 2, 20700, 110, 5488, 66, 76, 2, 4563000, 2, 116, 3570, 64, 110, 21780, 2, 200, 114, 53900, 2, 162000, 2, 68, 4290, 968, 154, 82764, 2, 20000

Offset

1,2

Links

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

Formula

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

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

Prog

(PARI) A305792(n) = { my(m=1); fordiv(n, d, if(d<n, m *= prime(A286622(d)-1))); (m); }; \\ Needs also code from A286622.

Crossrefs

Cf. A008578, A278222, A286622, A305793 (rgs-transform), A305794.

Cf. also A293214, A304102.

Sequence in context: A294072 A329600 A344226 * A317942 A296071 A319342

Adjacent sequences: A305789 A305790 A305791 * A305793 A305794 A305795

Keyword

nonn

Author

Antti Karttunen, Jun 11 2018

Status

approved