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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
OFFSET
1,1
COMMENTS
Intersection of A008587 and A000041.
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
KEYWORD
nonn
AUTHOR
Omar E. Pol, May 05 2013
STATUS
approved