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It appears that T(n,k) is also the total number of occurrences of j in the last j sections of n+1, where j = n-k+1 (cf. A182703). - Omar E. Pol, Feb 07 2012
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Equals A092080 when first column is removed. Georg Fischer, Jul 26 2023
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Francesca Aicardi, <a href="http://arxiv.org/abs/0806.1273">Matricial formulas for partitions</a>, arXiv:0806.1273 [math.NT], 2008. [Note that there is an error in the triangle given there.]
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