A090642 Triangle read by rows: T(n,k) = binomial(n^2, k), 0 <= k <= n.

1, 1, 1, 1, 4, 6, 1, 9, 36, 84, 1, 16, 120, 560, 1820, 1, 25, 300, 2300, 12650, 53130, 1, 36, 630, 7140, 58905, 376992, 1947792, 1, 49, 1176, 18424, 211876, 1906884, 13983816, 85900584, 1, 64, 2016, 41664, 635376, 7624512, 74974368, 621216192, 4426165368

Offset: 0

Author

Reinhard Zumkeller, Dec 13 2003

Keywords

• nonn
• tabl
• easy

Comments

A066382(n) = Sum_{k=0..n} T(n,k).

Examples

			Triangle begins:
  1;
  1,  1;
  1,  4,   6;
  1,  9,  36,   84;
  1, 16, 120,  560,  1820;
  1, 25, 300, 2300, 12650,  53130;
  1, 36, 630, 7140, 58905, 376992, 1947792;
  ...
		

Links

• Nathaniel Johnston, Rows 0..100, flattened

Crossrefs

Cf. A007318 (Pascal's triangle), A014062 (right diagonal).

Programs

Maple

for n from 0 to 6 do seq(binomial(n^2,k),k=0..n); od; # Nathaniel Johnston, Jun 24 2011