Chebyshev polynomials of the second kind;
difference equations;
Fibonacci numbers;
in-teger sequences;
tridiagonal matrices;
D O I:
10.48129/kjs.20425
中图分类号:
O [数理科学和化学];
P [天文学、地球科学];
Q [生物科学];
N [自然科学总论];
学科分类号:
07 ;
0710 ;
09 ;
摘要:
We provide an explicit solution for the terms of the sequence (xn,k) defined byxn,k = xn-1,k - (-1)L(n-2)/k]xn-2,k ,for n 3, setting x1,k = 1 and x2,k = 0. Several particular examples are considered.