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

0,6

Comments

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

Links

Table of n, a(n) for n=0..59.

Formula

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

Example

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.

Sequence in context: A231987 A235214 A208606 * A244811 A183153 A208513

Adjacent sequences: A136097 A136098 A136099 * A136101 A136102 A136103

Keyword

nonn,tabf

Author

Alford Arnold, Dec 27 2007

Extensions

More terms from Alois P. Heinz, Nov 05 2015

Status

approved