OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..193
Eric Weisstein's World of Mathematics, Chebyshev Polynomial of the Second Kind.
Wikipedia, Chebyshev polynomials.
FORMULA
For n>1, a(n) = ((n + sqrt(n^2-1))^(2*n+1) - (n - sqrt(n^2-1))^(2*n+1)) / (2*sqrt(n^2-1)).
a(n) ~ 2^(2*n) * n^(2*n).
MATHEMATICA
Table[ChebyshevU[2*n, n], {n, 0, 15}]
PROG
(PARI) a(n) = polchebyshev(2*n, 2, n); \\ Michel Marcus, Nov 07 2021
(Python)
from sympy import chebyshevu
def A349073(n): return chebyshevu(n<<1, n) # Chai Wah Wu, Nov 08 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2021
STATUS
approved