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

Author

Omar E. Pol, May 05 2013

Keywords

• nonn

Comments

Intersection of A008587 and A000041.

Examples

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

Links

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

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

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