

A225325


Partition numbers of the form 5k.


8



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



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



