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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
OFFSET
2,2
LINKS
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 A375495 A131034
KEYWORD
sign,tabf
AUTHOR
Eric W. Weisstein, Apr 28 2006
STATUS
approved