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Triangle read by rows: matrix inverse of A110877.
4

%I #10 Mar 04 2014 01:52:20

%S 1,-1,1,2,-4,1,-5,13,-7,1,13,-40,33,-10,1,-34,120,-132,62,-13,1,89,

%T -354,483,-308,100,-16,1,-233,1031,-1671,1345,-595,147,-19,1,610,

%U -2972,5561,-5398,3030,-1020,203,-22,1,-1597,8495,-17984,20410,-13893,5943,-1610,268,-25,1,4181,-24110,56886,-73816,59059,-30702,10570,-2392,342,-28,1

%N Triangle read by rows: matrix inverse of A110877.

%C A110877 can be generated from M^n * [1,0,0,0...] where M = an infinite tridiagonal matrix with 1's in the super and subdiagonals and (1,3,3,3...) in the main diagonal.

%C Up to signs the same as A124037. - _R. J. Mathar_, Sep 06 2013

%C Riordan array ((1+2*x)/(1+3*x+x^2), x/(1+3*x+x^2)). - _Philippe Deléham_, Mar 04 2014

%F Sum_{j=k..n} T(n,j)*A110877(j,k) = delta(n,k).

%e First few rows of the triangle are:

%e 1;

%e -1, 1;

%e 2, -4, 1;

%e -5, 13, -7, 1;

%e 13, -40, 33, -10, 1;

%e -34, 120, -132, 62, -13, 1

%e ...

%Y Cf. A110877.

%K tabl,sign

%O 0,4

%A _Gary W. Adamson_, Dec 17 2006

%E Corrected by _R. J. Mathar_, Sep 06 2013