A110327 Triangle read by rows: T(n,k) = n!*Pell(n-k+1)/k!, where Pell(n)=A000129(n).

1, 2, 1, 10, 4, 1, 72, 30, 6, 1, 696, 288, 60, 8, 1, 8400, 3480, 720, 100, 10, 1, 121680, 50400, 10440, 1440, 150, 12, 1, 2056320, 851760, 176400, 24360, 2520, 210, 14, 1, 39715200, 16450560, 3407040, 470400, 48720, 4032, 280, 16, 1, 862928640

Offset

0,2

Comments

The row polynomials form an Appell sequence (see Wikipedia). - Tom Copeland, Dec 03 2013.

Links

Table of n, a(n) for n=0..45.

Wikipedia, Appell sequence

Formula

Column k has e.g.f. x^k/(k!*(1-2x-x^2)).

E.g.f. Sum T(n,k) x^n y^k / n! = e^{xy}/(1-2x-x^2). - Franklin T. Adams-Watters, Jan 12 2007

Example

Rows begin
1;
2,1;
10,4,1;
72,30,6,1;
696,288,60,8,1;
8400,3480,720,100,10,1;
121680,50400,10440,1440,150,12,1;

Crossrefs

Cf. A000129, A110328 (row sums), A110329 (diagonal sums), A110330 (matrix inverse).

Sequence in context: A099755 A202483 A110682 * A105615 A136216 A121334

Adjacent sequences: A110324 A110325 A110326 * A110328 A110329 A110330

Keyword

nonn,tabl,easy

Author

Paul Barry, Jul 20 2005

Extensions

Edited by Franklin T. Adams-Watters, Jan 12 2007

Status

approved