A094252 a(n) = partition(n) mod prime(n).

1, 2, 3, 5, 7, 11, 15, 3, 7, 13, 25, 3, 19, 6, 35, 19, 2, 19, 21, 59, 62, 54, 10, 62, 18, 12, 23, 80, 96, 67, 111, 96, 5, 78, 132, 8, 128, 98, 123, 143, 12, 141, 40, 98, 90, 88, 53, 93, 97, 187, 186, 47, 2, 117, 241, 34, 27, 51, 266, 108, 259, 115, 278, 30, 281, 227, 244, 141

Offset

1,2

Comments

Indices n such that a(n)=0 (i.e., prime(n) divides partition(n)) are listed in A245662. - Max Alekseyev, Jul 27 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Example

a(10) = 13: partition(10) = 42, prime(10) = 29. 42 mod 29 = 13.

Mathematica

Table[ Mod[ PartitionsP[n], Prime[n]], {n, 70}] (* Robert G. Wilson v, Apr 28 2004 *)

Crossrefs

Cf. A000041, A093952, A245525.

Sequence in context: A359683 A184642 A350836 * A209038 A182803 A106532

Adjacent sequences: A094249 A094250 A094251 * A094253 A094254 A094255

Keyword

nonn

Author

Gary W. Adamson, Apr 25 2004

Extensions

Edited by Robert G. Wilson v, Apr 28 2004

Status

approved