OFFSET
0,3
COMMENTS
In general, for k>=1, T(k*n, n) ~ 2^(k*n - 1) * n^(k*n).
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..136
Eric Weisstein's World of Mathematics, Chebyshev Polynomial of the First Kind.
Wikipedia, Chebyshev polynomials.
FORMULA
a(n) = cosh(3*n*arccosh(n)).
a(n) = ((n + sqrt(n^2-1))^(3*n) + (n - sqrt(n^2-1))^(3*n))/2.
a(n) ~ 2^(3*n-1) * n^(3*n).
MATHEMATICA
Table[ChebyshevT[3*n, n], {n, 0, 13}]
PROG
(PARI) a(n) = polchebyshev(3*n, 1, n); \\ Michel Marcus, Nov 07 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 07 2021
STATUS
approved