A225325 Partition numbers of the form 5k.

5, 15, 30, 135, 385, 490, 1255, 1575, 3010, 4565, 12310, 26015, 31185, 75175, 173525, 386155, 715220, 831820, 1121505, 1741630, 2323520, 3087735, 3554345, 4697205, 7089500, 13848650, 20506255, 26543660, 49995925, 92669720, 133230930, 169229875

Offset

1,1

Comments

Intersection of A008587 and A000041.

Links

Paul Tek, Table of n, a(n) for n = 1..10000

Formula

a(n) = 5*A217725(n). - Omar E. Pol, May 08 2013

Example

15 is in the sequence because 5*3 = 15 and 15 is a partition number: p(7) = A000041(7) = 15.

Mathematica

Select[PartitionsP[Range[300]], Mod[#, 5] == 0 &] (* T. D. Noe, May 05 2013 *)

Prog

(PARI) for(n=9, 1e3, t=numbpart(n); if(t%5, , print1(t", "))) \\ Charles R Greathouse IV, May 08 2013

Crossrefs

Cf. A000041, A008587, A052001, A072871, A087183, A225324, A225326, A225327, A225358, A225360, A127544, A225361

Sequence in context: A010898 A048065 A048021 * A133268 A056108 A055831

Adjacent sequences: A225322 A225323 A225324 * A225326 A225327 A225328

Keyword

nonn

Author

Omar E. Pol, May 05 2013

Status

approved