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A268523 Irregular triangle read by rows: T(n,i) = number of n X n semi-canonical binary matrices with exactly i 1’s, where 0 <= i <= n^2. 0

%I #9 Feb 13 2016 03:50:43

%S 1,1,1,1,3,1,1,1,1,3,8,10,9,8,3,1,1,1,1,3,8,25,49,84,107,121,101,72,

%T 41,24,8,3,1,1,1,1,3,8,25,80,220,524,1057,1806,2671,3365,3680,3468,

%U 2865,2072,1314,723,362,166,72,24,8,3,1,1,1,1,3,8,25,80,283,925,2839,7721,18590,39522,74677,125449,188290,252954,305561,332402,326650,290171,233656,170704,113448,68677,37996,19188,8910,3847,1588,613,299,72,24,8,3,1

%N Irregular triangle read by rows: T(n,i) = number of n X n semi-canonical binary matrices with exactly i 1’s, where 0 <= i <= n^2.

%H K. Yordzhev, <a href="http://arxiv.org/abs/1506.04642">Semi-canonical binary matrices</a>, arXiv preprint arXiv:1506.04642 [math.CO], 2015.

%e Triangle begins:

%e 1,1,

%e 1,1,3,1,1,

%e 1,1,3,8,10,9,8,3,1,1,

%e 1,1,3,8,25,49,84,107,121,101,72,41,24,8,3,1,1,

%e 1,1,3,8,25,80,220,524,1057,1806,2671,3365,3680,3468,2865,2072,1314,723,362,166,72,24,8,3,1,1,

%e ...

%K nonn,tabf

%O 0,5

%A _N. J. A. Sloane_, Feb 12 2016

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Last modified May 27 18:18 EDT 2024. Contains 372880 sequences. (Running on oeis4.)