A222179 Numbers n such that 9n is a partition number.

15, 33, 88, 175, 1127, 3465, 7029, 36659, 1755164, 4900901, 537252430, 816292168, 1365815759, 2048921480, 11937573274, 14434878293, 17435497255, 27826547235, 169697066625, 371707331522, 405119159125, 800760189610, 23737435535625, 86561181062463, 100528900924040

Offset: 1

Author

Omar E. Pol, May 05 2013

Keywords

• nonn

Examples

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

Crossrefs

Cf. A000041, A213179, A213365, A216258, A217725, A217726, A222175, A222178, A225317, A225323, A225360.

Programs

Mathematica

Select[PartitionsP[Range[300]], Mod[#, 9] == 0 &]/9 (* T. D. Noe, May 05 2013 *)

Formula

a(j) = A225360(j)/9.

Extensions

a(6)-a(25) from R. J. Mathar, May 05 2013