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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

Table of n, a(n) for n=0..62.

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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Last modified November 21 05:01 EST 2017. Contains 294988 sequences.