A225360 Partition numbers of the form 9k.

135, 297, 792, 1575, 10143, 31185, 63261, 329931, 15796476, 44108109, 4835271870, 7346629512, 12292341831, 18440293320, 107438159466, 129913904637, 156919475295, 250438925115, 1527273599625, 3345365983698, 3646072432125, 7206841706490

Offset: 1

Author

Omar E. Pol, May 05 2013

Keywords

• nonn

Comments

Intersection of A008591 and A000041.

Examples

			135 is in the sequence because 9*15 = 135 and 135 is a partition number: p(14) = A000041(14) = 135.
		

Links

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

Crossrefs

Cf. A000041, A008591, A052001, A072871, A087183, A225324, A225325, A225326, A225327, A225358, A127544, A225361.

Programs

Mathematica

Select[PartitionsP[Range[300]], Mod[#, 9] == 0 &]

Formula

a(n) = 9*A222179(n).