A118745 Triangle of coefficients of polynomials giving the n-anacci constants.

-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

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.

Gültekin, İnci; Deveci, Ömür, On the arrowhead-Fibonacci numbers. Open Math. 14, 1104-1113 (2016).

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: A062866 A131035 A339833 * A235671 A131034 A346873

Adjacent sequences: A118742 A118743 A118744 * A118746 A118747 A118748

Keyword

sign,tabf

Author

Eric W. Weisstein, Apr 28 2006

Status

approved