OFFSET
0,2
COMMENTS
In general, for k>=1, T(n, k*n) ~ 2^(n-1) * k^n * n^n.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..306
Eric Weisstein's World of Mathematics, Chebyshev Polynomial of the First Kind.
Wikipedia, Chebyshev polynomials.
FORMULA
a(n) = cosh(n*arccosh(3*n)).
a(n) = ((3*n + sqrt(9*n^2-1))^n + (3*n - sqrt(9*n^2-1))^n)/2.
a(n) ~ 2^(n-1) * 3^n * n^n.
MATHEMATICA
Table[ChebyshevT[n, 3*n], {n, 0, 20}]
PROG
(PARI) a(n) = polchebyshev(n, 1, 3*n); \\ Michel Marcus, Nov 07 2021
(Python)
from sympy import chebyshevt
def A349072(n): return chebyshevt(n, 3*n) # Chai Wah Wu, Nov 08 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2021
STATUS
approved