%I #11 Sep 13 2013 16:52:00

%S 1,-1,1,-1,1,1,1,1,3,1,1,1,11,5,1,-1,1,41,29,7,1,-1,1,153,169,55,9,1,

%T 1,1,571,985,433,89,11,1,1,1,2131,5741,3409,881,131,13,1,-1,1,7953,

%U 33461,26839,8721,1561,181,15,1

%N The number triangle associated with the polynomials V_n(x)

%C V(n) is the polynomial with integer coefficients in x given by cos((2n+1)(arccos(x)/2))/(arccos(x)/2). The triangle here is given by V_0(0), V_1(0), V_0(1), V_2(0), V_1(1), V_0(2), V_3(0), V_2(1), V_1(2), V_0(3), V_4(0),....

%F The terms are given by the recurrence relation V_{n+1}(x) = 2xV_n(x)-V_{n-1}(x), V_0(x) = 1, V_1(x)=2x-1.

%e V_0(x)=1, V_1(x)=2x-1, V_2(x)=4x^2-2x-1, ...

%Y Cf. A028297, A101124, A133156, A228161, A228565, A180870.

%K sign,tabl,easy

%O 0,9

%A _Jonny Griffiths_, Aug 28 2013