OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..321
Eric Weisstein's World of Mathematics, Chebyshev Polynomial of the First Kind.
Wikipedia, Chebyshev polynomials.
FORMULA
a(n) = cosh(n*arccosh(2*n)).
a(n) = ((2*n + sqrt(4*n^2-1))^n + (2*n - sqrt(4*n^2-1))^n)/2.
a(n) ~ 2^(2*n-1) * n^n.
MATHEMATICA
Table[ChebyshevT[n, 2*n], {n, 0, 20}]
PROG
(PARI) a(n) = polchebyshev(n, 1, 2*n); \\ Michel Marcus, Nov 07 2021
(Python)
from sympy import chebyshevt
def A349071(n): return chebyshevt(n, n<<1) # Chai Wah Wu, Nov 08 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2021
STATUS
approved