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 A155797 Triangle read by rows: t(n,k)=Binomial[k*(n - k), n] 0
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 28, 84, 28, 0, 0, 0, 0, 120, 792, 792, 120, 0, 0, 0, 0, 495, 6435, 12870, 6435, 495, 0, 0, 0, 0, 2002, 48620, 167960, 167960, 48620, 2002, 0, 0, 0, 0, 8008, 352716, 1961256, 3268760, 1961256, 352716 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,18 COMMENTS Row sums are: {1, 0, 0, 0, 1, 12, 140, 1824, 26730, 437164, 7912720,...}. LINKS EXAMPLE {1}, {0, 0}, {0, 0, 0}, {0, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 6, 6, 0, 0}, {0, 0, 28, 84, 28, 0, 0}, {0, 0, 120, 792, 792, 120, 0, 0}, {0, 0, 495, 6435, 12870, 6435, 495, 0, 0}, {0, 0, 2002, 48620, 167960, 167960, 48620, 2002, 0, 0}, {0, 0, 8008, 352716, 1961256, 3268760, 1961256, 352716, 8008, 0, 0} MATHEMATICA Table[Table[Binomial[k*(n - k), n], {k, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A291067 A037054 A284740 * A285071 A285338 A020845 Adjacent sequences:  A155794 A155795 A155796 * A155798 A155799 A155800 KEYWORD nonn,tabl AUTHOR Roger L. Bagula, Jan 27 2009 EXTENSIONS Edited by N. J. A. Sloane, Jan 31 2009 STATUS approved

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