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

%I A110327 #15 May 25 2025 20:48:06
%S A110327 1,2,1,10,4,1,72,30,6,1,696,288,60,8,1,8400,3480,720,100,10,1,121680,
%T A110327 50400,10440,1440,150,12,1,2056320,851760,176400,24360,2520,210,14,1,
%U A110327 39715200,16450560,3407040,470400,48720,4032,280,16,1,862928640
%N A110327 Triangle read by rows: T(n,k) = n!*Pell(n-k+1)/k!, where Pell(n)=A000129(n).
%C A110327 The row polynomials form an Appell sequence (see Wikipedia). - _Tom Copeland_, Dec 03 2013
%H A110327 Wikipedia, <a href="http://en.wikipedia.org/wiki/Appell_sequence">Appell sequence</a>
%F A110327 Column k has e.g.f.: x^k/(k!*(1-2*x-x^2)).
%F A110327 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
%e A110327 Rows begin:
%e A110327   1;
%e A110327   2,1;
%e A110327   10,4,1;
%e A110327   72,30,6,1;
%e A110327   696,288,60,8,1;
%e A110327   8400,3480,720,100,10,1;
%e A110327   121680,50400,10440,1440,150,12,1;
%Y A110327 Cf. A000129, A110328 (row sums), A110329 (diagonal sums), A110330 (matrix inverse).
%K A110327 nonn,tabl,easy
%O A110327 0,2
%A A110327 _Paul Barry_, Jul 20 2005
%E A110327 Edited by _Franklin T. Adams-Watters_, Jan 12 2007