A039961 Triangle of coefficients in a Fibonacci-like sequence of polynomials.

1, 1, 1, -1, 1, -1, -1, 1, -1, -2, 1, 1, -1, -3, 2, 1, 1, -1, -4, 3, 3, -1, 1, -1, -5, 4, 6, -3, -1, 1, -1, -6, 5, 10, -6, -4, 1, 1, -1, -7, 6, 15, -10, -10, 4, 1, 1, -1, -8, 7, 21, -15, -20, 10, 5, -1, 1, -1, -9, 8, 28, -21, -35, 20, 15, -5, -1, 1, -1, -10

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign
• tabf

Comments

Essentially the same as A108299. - Philippe Deléham, Feb 27 2014

Examples

			Triangle starts:
  1
  1
  1 -1
  1 -1 -1
  1 -1 -2 1
  1 -1 -3 2 1
  ...
		

References

• A. F. Horadam, R. P. Loh and A. G. Shannon, Divisibility properties of some Fibonacci-type sequences, pp. 55-64 of Combinatorial Mathematics VI (Armidale 1978), Lect. Notes Math. 748, 1979.

Crossrefs

Cf. A065941, A108299.

Formula

q_{n+2}(x) = x*q_{n+1}(x)-q_n(x), q_1(x) = q_2(x) = 1.

Extensions

More terms from Philippe Deléham, Feb 27 2014