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A118745 Triangle of coefficients of polynomials giving the n-anacci constants. 0
-1, 2, -1, 4, -1, -1, 6, 0, -1, -1, 8, 1, 0, -1, -1, 10, 2, 1, 0, -1, -1, 12, 3, 2, 1, 0, -1, -1, 14, 4, 3, 2, 1, 0, -1, -1, 16, 5, 4, 3, 2, 1, 0, -1, -1, 18, 6, 5, 4, 3, 2, 1, 0, -1, -1, 20, 7, 6, 5, 4, 3, 2, 1, 0, -1, -1, 22, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -1, 24, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -1, 26, 10, 9, 8, 7, 6, 5, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..100.

O. Deveci, Y. Akuzum, E. Karaduman, O. Erdag, The Cyclic Groups via Bezout Matrices, Journal of Mathematics Research, Vol. 7, No. 2, 2015, pp. 34-41.

Ömür Deveci, Zafer Adıgüzel, Taha Doğan, On the Generalized Fibonacci-circulant-Hurwitz numbers, Notes on Number Theory and Discrete Mathematics (2020) Vol. 26, No. 1, 179-190.

Eric Weisstein's World of Mathematics, Fibonacci n-Step Number

EXAMPLE

-1 + 2*x, -1 + 4*x - x^2, -1 + 6*x - x^3, ...

From Michael De Vlieger, Jul 31 2020: (Start)

Table begins:

-1,  2;

-1,  4, -1;

-1,  6,  0, -1;

-1,  8,  1,  0, -1;

-1, 10,  2,  1,  0, -1;

-1, 12,  3,  2,  1,  0, -1;

-1, 14,  4,  3,  2,  1,  0, -1;

-1, 16,  5,  4,  3,  2,  1,  0, -1;

-1, 18,  6,  5,  4,  3,  2,  1,  0, -1;

-1, 20,  7,  6,  5,  4,  3,  2,  1,  0, -1;

-1, 22,  8,  7,  6,  5,  4,  3,  2,  1,  0, -1;

-1, 24,  9,  8,  7,  6,  5,  4,  3,  2,  1,  0, -1;

... (End)

MATHEMATICA

Array[Join[{-1}, {2 (# - 1)}, Range[# - 4, -1, -1]] &, 12, 2] // Flatten (* Michael De Vlieger, Jul 31 2020 *)

CROSSREFS

Sequence in context: A140582 A062866 A131035 * A235671 A131034 A130313

Adjacent sequences:  A118742 A118743 A118744 * A118746 A118747 A118748

KEYWORD

sign,tabf,changed

AUTHOR

Eric W. Weisstein, Apr 28 2006

STATUS

approved

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Last modified August 9 22:52 EDT 2020. Contains 336335 sequences. (Running on oeis4.)