A110327 - OEIS

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

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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!*(1-2*x-x^2)).

E.g.f.: Sum_{n>=0, k>=0} T(n,k)*x^n*y^k/n! = e^(x*y)/(1-2*x-x^2). - Franklin T. Adams-Watters, Jan 12 2007

EXAMPLE

Rows begin:

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