A070830 Number of wide partitions of n.

1, 1, 2, 3, 3, 5, 6, 9, 11, 14, 18, 23, 29, 35, 45, 56, 68, 85, 103, 125, 150, 183, 217, 266, 315, 380, 449, 534, 628, 745, 874, 1034, 1212, 1423, 1665, 1944, 2265, 2627, 3055, 3536, 4099, 4735, 5479, 6309, 7273, 8358, 9599, 11012, 12605, 14421

Offset: 1

Author

N. J. A. Sloane, Jun 10 2002

Keywords

• nonn

Comments

The "Wide Partition Conjecture" (see e.g. Chow et al., 2002/2003) is still unsolved. - N. J. A. Sloane, Nov 21 2013

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..100
• T. Y. Chow, C. K. Fan, M. X. Goemans and J. Vondrak, Wide partitions, Latin tableaux and Rota's basis conjecture, arXiv preprint arXiv:math/0205288 [math.CO], 2002.
• T. Chow, C. Fan, M. Goemans, and J. Vondrak, Wide Partitions, Latin Tableaux and Rota's Basis Conjecture, Advances in Applied Mathematics, Vol. 31 (2003), No. 2, pp. 334-358.

Crossrefs

Cf. A108339.