A119831 Number triangle (3n)!/(3k)!.

1, 6, 1, 720, 120, 1, 362880, 60480, 504, 1, 479001600, 79833600, 665280, 1320, 1, 1307674368000, 217945728000, 1816214400, 3603600, 2730, 1, 6402373705728000, 1067062284288000, 8892185702400, 17643225600, 13366080, 4896, 1

Offset: 0

Author

Paul Barry, May 25 2006

Keywords

• easy
• nonn
• tabl

Comments

Row sums are A087350. Inverse is bi-diagonal array A119832.

Examples

			Triangle begins
1,
6, 1,
720, 120, 1,
362880, 60480, 504, 1,
479001600, 79833600, 665280, 1320, 1,
1307674368000, 217945728000, 1816214400, 3603600, 2730, 1
		

Crossrefs

Cf. A119828.

Programs

Mathematica

Flatten[Table[(3n)!/(3k)!,{n,0,10},{k,0,n}]] (* Harvey P. Dale, Jan 19 2013 *)

Formula

Number triangle T(n,k)=[k<=n]*(3n)!/(3k)!