A121015 Numbers n such that partition number p(n) == 14 (mod n).

1, 2, 8, 1402, 3579, 4111, 5289, 6383, 6467, 15146, 32141, 41910, 82849, 110088, 127531, 185114, 1320338, 1467242, 5739729, 22507473, 32494198

Offset

1,2

Comments

No other terms below 10^8. - Max Alekseyev, May 19 2014

Links

Table of n, a(n) for n=1..21.

Example

Partition number of 8 is 22 = 1*8 + 14, hence 8 is a term.
Partition number of 1402 is 52435757789401123913939450130086135644 = 37400683159344596229628709079947315*1402 + 14, hence 1402 is a term.

Mathematica

Do[ If[ Mod[ PartitionsP@n - 14, n] == 0, Print@n], {n, 731000}] (* Robert G. Wilson v, Sep 14 2006 *)

Prog

(PARI) for(n=1, 200000, if((numbpart(n)-14)%n==0, print1(n, ", "))) \\ Klaus Brockhaus, Sep 07 2006

Crossrefs

Cf. A000041, A051177, A093952, A128836, A203023.

Sequence in context: A014115 A014116 A027668 * A216619 A306241 A073630

Adjacent sequences: A121012 A121013 A121014 * A121016 A121017 A121018

Keyword

more,nonn

Author

Zak Seidov, Sep 02 2006

Extensions

Edited, corrected and extended (a(1) to a(3), a(11) to a(16)) by Klaus Brockhaus, Sep 07 2006

Rechecked by Klaus Brockhaus, Mar 17 2007

a(17)-a(19) from Ryan Propper, Mar 17 2007

a(20) from Max Alekseyev, Dec 28 2011

a(21) from Max Alekseyev, Jan 15 2013

Status

approved