A213365 Numbers k such that 3*k 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

Author

Omar E. Pol, Jan 08 2013

Keywords

• nonn

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

• Amiram Eldar, Table of n, a(n) for n = 1..1000

Crossrefs

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

Programs

Mathematica

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

Formula

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

Extensions

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