A201863 Let CZ(0,x)=1, CZ(1,x)=0 , CZ(2,x)=x^2-1 and CZ(n,x)=2*x*CZ(n-1,x) - CZ(n-2,x) for n > 2. This sequence is the triangle of polynomial coefficients in order of decreasing exponents.

1, 0, 0, 1, 0, -1, 2, 0, -2, 0, 4, 0, -5, 0, 1, 8, 0, -12, 0, 4, 0, 16, 0, -28, 0, 13, 0, -1, 32, 0, -64, 0, 38, 0, -6, 0, 64, 0, -144, 0, 104, 0, -25, 0, 1, 128, 0, -320, 0, 272, 0, -88, 0, 8, 0, 256, 0, -704, 0, 688, 0, -280, 0, 41, 0, -1

Offset: 0

Author

Paul Curtz, Dec 06 2011

Keywords

• sign
• easy
• tabl

Comments

From (A039991 without 0's=) A028297 we wrote in A201509

1, 1,

2, 2,

4, 5, 1,

8, 12, 4.

Hence a(n) first coefficients:

1,

0, 0

1, 0,- 1, x^2-1,

2, 0, -2, 0,

4, 0, -5, 0, 1

8, 0,-12, 0, 4, 0.

The first 1 is a choice.

Row sums=0.

Absolute value row sums: 1 before A163271.

First vertical:A034008=1 before A131577. Third:-A045623.

Mirror image of triangle in A076626. - Philippe Deléham, Dec 07 2011

Crossrefs

Cf. A039991, A201509.