A213365 Numbers n such that 3n is a partition number.

1, 5, 10, 14, 45, 77, 99, 209, 264, 334, 525, 812, 1868, 2783, 3381, 4961, 10395, 12446, 14861, 21087, 35186, 49091, 79981, 93863, 109977, 204718, 373835, 501833, 1029245, 1362656, 1565735, 2706088, 5265492, 14702703, 44410310, 80421793, 101600455, 128092112, 143716463, 226634401, 354714817, 947313500, 1054375784

Offset

1,2

Comments

Is this sequence infinite? Klarreich writes: no one has proved whether there are infinitely many partition numbers divisible by 3 (see Jonathan Vos Post's comment in A000041 and A087183). - Omar E. Pol, Jan 14 2014

Links

Table of n, a(n) for n=1..43.

Formula

a(j) = A087183(j)/3.

Mathematica

Select[PartitionsP[Range[300]], Mod[#, 3] == 0 &]/3 (* Omar E. Pol, May 07 2013 *)

Crossrefs

Cf. A000041, A087183, A213179, A216258, A217725, A217726, A222175, A222178, A222179, A225317, A225323.

Sequence in context: A020885 A258151 A280320 * A179123 A004470 A205688

Adjacent sequences: A213362 A213363 A213364 * A213366 A213367 A213368

Keyword

nonn

Author

Omar E. Pol, Jan 08 2013

Extensions

a(35)-a(43) from R. J. Mathar, May 05 2013

Status

approved