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

0,2

Links

Table of n, a(n) for n=0..20.

Formula

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

Example

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).

Prog

(PARI)

Crossrefs

Cf. A051163, A100936.

Sequence in context: A063016 A246455 A133798 * A371785 A223026 A371434

Adjacent sequences: A100934 A100935 A100936 * A100938 A100939 A100940

Keyword

nonn

Author

Paul D. Hanna, Nov 23 2004

Status

approved