A155797 Triangle read by rows: t(n,k)=Binomial[k*(n - k), n]

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

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 * A303920 A285071 A285338

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