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A078996 Triangle read by rows: let f(x) = x/(1-x-x^2); n-th row gives coefficients of denominator polynomial of n-th derivative f(x)^(n), with highest powers first, for n >= 0.

%I A078996 #22 Jul 09 2017 21:28:20
%S A078996 -1,-1,1,1,2,-1,-2,1,1,3,0,-5,0,3,-1,1,4,2,-8,-5,8,2,-4,1,1,5,5,-10,
%T A078996 -15,11,15,-10,-5,5,-1,1,6,9,-10,-30,6,41,-6,-30,10,9,-6,1,1,7,14,-7,
%U A078996 -49,-14,77,29,-77,-14,49,-7,-14,7,-1,1,8,20,0,-70,-56,112,120,-125,-120,112,56,-70,0,20,-8,1
%N A078996 Triangle read by rows: let f(x) = x/(1-x-x^2); n-th row gives coefficients of denominator polynomial of n-th derivative f(x)^(n), with highest powers first, for n >= 0.
%F A078996 f(x)^(n), for n=0, 1, 2, 3, 4, ..., where f(x)= x/(1-x-x^2).
%F A078996 G.f.: G(0)/(2*x) - 1/x - 2 - 2*x + 2*x^2 , where G(k)= 1 + 1/( 1 - (1+x-x^2)*x^(2*k+1)/((1+x-x^2)*x^(2*k+1) + 1/G(k+1) )); (continued fraction). - _Sergei N. Gladkovskii_, Jul 06 2013
%e A078996 Triangle begins:
%e A078996   -1, -1,  1;
%e A078996    1,  2, -1, -2,  1;
%e A078996    1,  3,  0, -5,  0,  3, -1;
%e A078996   ...
%Y A078996 See A084610 for another version of this triangle.
%K A078996 sign,tabf
%O A078996 0,5
%A A078996 _Mohammad K. Azarian_, Jan 12 2003
%E A078996 Edited by _N. J. A. Sloane_, Jan 15 2011