A222175 Numbers n such that 7n is a partition number.

1, 6, 8, 11, 33, 55, 70, 225, 348, 430, 1449, 3091, 4455, 5334, 6369, 17822, 21039, 40227, 47133, 55165, 64468, 160215, 441105, 1159752, 1327013, 2929465, 3334067, 7142275, 16873472, 19032990, 38749850, 86737678, 97129029, 189672868, 405991500, 451875336, 852077072, 1756048833, 2152268305, 3558408287, 4341238854, 7098041203

Offset: 1

Author

Omar E. Pol, May 05 2013

Keywords

• nonn

Examples

			6 is in the sequence because 7*6 = 42 and 42 is a partition number: p(10) = A000041(10) = 42.
		

Crossrefs

Cf. A000041, A213179, A213365, A216258, A217725, A217726, A222178, A222179, A225317, A225323, A225327.

Programs

Mathematica

Select[PartitionsP[Range[300]], Mod[#, 7] == 0 &]/7 (* T. D. Noe, May 05 2013 *)

Formula

a(j) = A225327(j)/7.

Extensions

a(9)-a(42) from R. J. Mathar, May 05 2013