OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..351
Wikipedia, Chebyshev polynomials.
FORMULA
a(n) = cos(n*arccos(n+2)).
a(n) = n * Sum_{k=0..n} (2*n+2)^k * binomial(n+k,2*k)/(n+k) for n > 0.
a(n) ~ exp(2) * 2^(n-1) * n^n. - Vaclav Kotesovec, Mar 12 2024
MATHEMATICA
Table[ChebyshevT[n, n + 2], {n, 0, 16}] (* Amiram Eldar, Mar 05 2021 *)
PROG
(PARI) a(n) = polchebyshev(n, 1, n+2);
(PARI) a(n) = round(cos(n*acos(n+2)));
(PARI) a(n) = if(n==0, 1, n*sum(k=0, n, (2*n+2)^k*binomial(n+k, 2*k)/(n+k)));
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 05 2021
STATUS
approved