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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. 2
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, 0, 6, 0, 6, 0, 3, 0, -15, 0, 15, 0, 6, 0, -3, 3, 0, -18, 0, 27, 0, 0, 0, -9, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

0,

3, 0,

3, 0,  3,

3, 0,  0, 0,

3, 0, -3, 0, -3,

3, 0, -6, 0, -3, 0.

Multiples of 3.

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

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

LINKS

Table of n, a(n) for n=0..54.

FORMULA

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.

EXAMPLE

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

CROSSREFS

Sequence in context: A307199 A141030 A221168 * A262281 A297871 A292130

Adjacent sequences:  A194081 A194082 A194083 * A194085 A194086 A194087

KEYWORD

sign,tabl

AUTHOR

Paul Curtz, Aug 14 2011

STATUS

approved

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Last modified April 21 02:10 EDT 2021. Contains 343143 sequences. (Running on oeis4.)