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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. 0

%I

%S -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 -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 -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 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 f(x)^(n), for n=0, 1, 2, 3, 4, ..., where f(x)= x/(1-x-x^2).

%F 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 Triangle begins:

%e -1, -1, 1;

%e 1, 2, -1, -2, 1;

%e 1, 3, 0, -5, 0, 3, -1;

%e ...

%Y See A084610 for another version of this triangle.

%K sign,tabf

%O 0,5

%A _Mohammad K. Azarian_, Jan 12 2003

%E Edited by _N. J. A. Sloane_, Jan 15 2011

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Last modified July 15 20:00 EDT 2019. Contains 325056 sequences. (Running on oeis4.)