A039961 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,10

COMMENTS

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

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.

LINKS

Table of n, a(n) for n=1..70.

FORMULA

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

EXAMPLE

Triangle starts:

1 -1

1 -1 -1

1 -1 -2 1

1 -1 -3 2 1

...

CROSSREFS

Cf. A065941, A108299.

Sequence in context: A342477 A372287 A152157 * A108299 A065941 A123320

Adjacent sequences: A039958 A039959 A039960 * A039962 A039963 A039964

KEYWORD

sign,tabf

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Philippe Deléham, Feb 27 2014

STATUS

approved

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