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Triangle read by rows: a(n)=A135929(n) + A192011(n). Row n gives coefficients of polynomials BC(n,x) in order of decreasing exponents.
2

%I #12 Jul 11 2012 14:40:58

%S 0,3,0,3,0,3,3,0,0,0,3,0,-3,0,-3,3,0,-6,0,-3,0,3,0,-9,0,0,0,3,3,0,-12,

%T 0,6,0,6,0,3,0,-15,0,15,0,6,0,-3,3,0,-18,0,27,0,0,0,-9,0

%N Triangle read by rows: a(n)=A135929(n) + A192011(n). Row n gives coefficients of polynomials BC(n,x) in order of decreasing exponents.

%C 0,

%C 3, 0,

%C 3, 0, 3,

%C 3, 0, 0, 0,

%C 3, 0, -3, 0, -3,

%C 3, 0, -6, 0, -3, 0.

%C Multiples of 3.

%C Row sum (from the second) is period 6: 3*A057079(n),"from" A057083 (scaled Chebyshev U(n,x)).

%C If a(0)=-3, a(n)=3*A192174(n).

%F BC(0,x)=0, BC(1,x)=3*x, BC(2,x)=3*x^2+3, BC(n,x)=x*BC(n-1,x) - BC(n-2,x), n > 2.

%e a(0)=1-1=0, a(1)=1+2=3, a(2)=0+0=0.

%K sign,tabl

%O 0,2

%A _Paul Curtz_, Aug 14 2011