cp's OEIS Frontend

A194084 Triangle read by rows: a(n)=A135929(n) + A192011(n). Row n gives coefficients of polynomials BC(n,x) in order of decreasing exponents.

%I A194084 #12 Jul 11 2012 14:40:58
%S A194084 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 A194084 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 A194084 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 A194084 0,
%C A194084 3, 0,
%C A194084 3, 0,  3,
%C A194084 3, 0,  0, 0,
%C A194084 3, 0, -3, 0, -3,
%C A194084 3, 0, -6, 0, -3, 0.
%C A194084 Multiples of 3.
%C A194084 Row sum (from the second) is period 6: 3*A057079(n),"from" A057083 (scaled Chebyshev U(n,x)).
%C A194084 If a(0)=-3, a(n)=3*A192174(n).
%F A194084 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 A194084 a(0)=1-1=0, a(1)=1+2=3, a(2)=0+0=0.
%K A194084 sign,tabl
%O A194084 0,2
%A A194084 _Paul Curtz_, Aug 14 2011