A136100 Square each term in the sequence counting standard Young tableaux; cf. A117506.

1, 1, 1, 1, 1, 4, 1, 1, 9, 4, 9, 1, 1, 16, 25, 36, 25, 16, 1, 1, 25, 81, 25, 100, 256, 25, 100, 81, 25, 1, 1, 36, 196, 196, 225, 1225, 441, 441, 400, 1225, 196, 225, 196, 36, 1, 1, 49, 400, 784, 196, 441, 4096, 4900, 3136, 1764, 1225, 8100, 3136, 4900, 196

Offset: 0

Author

Alford Arnold, Dec 27 2007

Keywords

• nonn
• tabf

Comments

When viewed as an irregular table there are A000041 entries per row which sum to 1, 1, 2, 6, 24, 120, 720 ...

Examples

			Row five of A117506 is 1 4 5 6 5 4 1 so row five of the present triangle is 1 16 25 36 25 16 1.
		

Crossrefs

Cf. A000041, A000085, A000142, A007318, A008459, A059797, A117506.

Formula

a(n) = A117506(n)*A117506(n).

Extensions

More terms from Alois P. Heinz, Nov 05 2015