A319345 Filter sequence combining the prime signature of phi(d) from all divisors d > 1 of n.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 7, 11, 12, 13, 14, 15, 16, 17, 12, 18, 19, 13, 7, 20, 21, 22, 19, 23, 12, 24, 25, 26, 19, 27, 28, 29, 30, 22, 31, 32, 33, 34, 25, 23, 35, 13, 7, 36, 37, 38, 39, 40, 12, 34, 28, 41, 42, 22, 7, 43, 44, 45, 46, 47, 48, 34, 25, 49, 19, 50, 25, 51, 52, 53, 54, 55, 56, 57, 25, 58, 59, 60, 7, 61, 62, 45, 31, 41, 33, 63, 64, 23, 65, 13

Offset

1,2

Comments

Restricted growth sequence transform of A319344.

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Prog

(PARI)
up_to = 65537;
A319344(n) = { my(m=1); fordiv(n, d, if((d>1), m *= prime(A318881(d)))); (m); }; \\ Needs also code from A318881
v319345 = rgs_transform(vector(up_to, n, A319344(n)));
A319345(n) = v319345[n];

Crossrefs

Cf. A318881, A319343, A319344.

Cf. also A305985.

Sequence in context: A330814 A305903 A305904 * A213651 A287796 A355675

Adjacent sequences: A319342 A319343 A319344 * A319346 A319347 A319348

Keyword

nonn

Author

Antti Karttunen, Sep 17 2018

Status

approved