OFFSET
0,9
COMMENTS
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),....
FORMULA
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.
EXAMPLE
V_0(x)=1, V_1(x)=2x-1, V_2(x)=4x^2-2x-1, ...
CROSSREFS
KEYWORD
AUTHOR
Jonny Griffiths, Aug 28 2013
STATUS
approved