A100937 Main diagonal of symmetric square array A100936.

1, 3, 14, 76, 435, 2577, 15678, 97272, 612126, 3891890, 24933292, 160663328, 1040074684, 6759228932, 44075916696, 288289595968, 1890894150707, 12434303045721, 81960791460442, 541428229233012, 3583843659376257

Offset: 0

Author

Paul D. Hanna, Nov 23 2004

Keywords

• nonn

Examples

			a(3) = 76 = 1*1 + 3^2*2 + 3^2*5 + 1*12 = Sum_{k=0..3} C(3,k)^2*A051163(k).
a(4) = 435 = 1*1 + 4^2*2 + 6^2*5 + 4^2*12 + 1*30 = Sum_{k=0..4} C(4,k)^2*A051163(k).
		

Crossrefs

Cf. A051163, A100936.

Programs

PARI

Formula

a(n) = Sum_{k=0..n} C(n, k)^2*A051162(k).