%I
%S 5,15,30,135,385,490,1255,1575,3010,4565,12310,26015,31185,75175,
%T 173525,386155,715220,831820,1121505,1741630,2323520,3087735,3554345,
%U 4697205,7089500,13848650,20506255,26543660,49995925,92669720,133230930,169229875
%N Partition numbers of the form 5k.
%C Intersection of A008587 and A000041.
%H Paul Tek, <a href="/A225325/b225325.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = 5*A217725(n).  _Omar E. Pol_, May 08 2013
%e 15 is in the sequence because 5*3 = 15 and 15 is a partition number: p(7) = A000041(7) = 15.
%t Select[PartitionsP[Range[300]], Mod[#, 5] == 0 &] (* _T. D. Noe_, May 05 2013 *)
%o (PARI) for(n=9, 1e3, t=numbpart(n); if(t%5, , print1(t", "))) \\ _Charles R Greathouse IV_, May 08 2013
%Y Cf. A000041, A008587, A052001, A072871, A087183, A225324, A225326, A225327, A225358, A225360, A127544, A225361
%K nonn
%O 1,1
%A _Omar E. Pol_, May 05 2013
