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Number of wide partitions of n.
2

%I #19 Jun 15 2024 00:47:38

%S 1,1,2,3,3,5,6,9,11,14,18,23,29,35,45,56,68,85,103,125,150,183,217,

%T 266,315,380,449,534,628,745,874,1034,1212,1423,1665,1944,2265,2627,

%U 3055,3536,4099,4735,5479,6309,7273,8358,9599,11012,12605,14421

%N Number of wide partitions of n.

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

%H Sean A. Irvine, <a href="/A070830/b070830.txt">Table of n, a(n) for n = 1..100</a>

%H T. Y. Chow, C. K. Fan, M. X. Goemans and J. Vondrak, <a href="https://arxiv.org/abs/math/0205288">Wide partitions, Latin tableaux and Rota's basis conjecture</a>, arXiv preprint arXiv:math/0205288 [math.CO], 2002.

%H T. Chow, C. Fan, M. Goemans, and J. Vondrak, <a href="https://doi.org/10.1016/S0196-8858(03)00015-0">Wide Partitions, Latin Tableaux and Rota's Basis Conjecture</a>, Advances in Applied Mathematics, Vol. 31 (2003), No. 2, pp. 334-358.

%Y Cf. A108339.

%K nonn

%O 1,3

%A _N. J. A. Sloane_, Jun 10 2002