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%I A136448 #8 Mar 06 2013 13:29:21
%S A136448 1,0,1,-4,0,1,0,-13,0,1,64,0,-29,0,1,0,389,0,-54,0,1,-2304,0,1433,0,
%T A136448 -90,0,1,0,-21365,0,4079,0,-139,0,1,147456,0,-113077,0,9839,0,-203,0,
%U A136448 1,0,1878021,0,-443476,0,21098,0,-284,0,1,-14745600,0,13185721,0,-1427376,0,41398,0,-384,0,1
%N A136448 Triangle T(n,k) with the coefficient [x^k] of the polynomial p(n,x) in row n, column k, where p(n,x) = x*p(n-1,x)-n^2*p(n-2,x).
%C A136448 Row sums are s(n) = 1, 1, -3, -12, 36, 336, -960, -17424, 44016, 1455360, -2946240,...
%F A136448 p(0,x)=1; p(1,x)=x; p(n,x) = x*p(n-1,x)-n^2*p(n-2,x). T(n,k) = [x^k] p(n,x), 0<=k<=n.
%F A136448 Row sums satisfy s(n)-s(n-1)+n^2*s(n-2)=0. - _R. J. Mathar_, Mar 06 2013
%e A136448 1;
%e A136448 0,1;
%e A136448 -4,0,1;
%e A136448 0,-13,0,1;
%e A136448 64,0,-29,0,1;
%e A136448 0,389,0,-54,0,1;
%e A136448 -2304,0,1433,0,-90,0,1;
%e A136448 0,-21365,0,4079,0,-139,0,1;
%e A136448 147456,0,-113077,0,9839,0,-203,0,1;
%e A136448 0,1878021,0,-443476,0,21098,0,-284,0,1;
%e A136448 -14745600,0,13185721,0,-1427376,0,41398,0,-384,0,1;
%Y A136448 Cf. A168559 (first subdiagonal)
%K A136448 easy,tabl,sign
%O A136448 0,4
%A A136448 _Roger L. Bagula_, Mar 19 2008

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