OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..193
Wikipedia, Chebyshev polynomials.
FORMULA
a(n) = T_{n}(2*n^2+4*n+1).
a(n) = Sum_{k=0..n} binomial(2*n,2*k)*(n^2+2*n)^(n-k)*(n+1)^(2*k).
a(n) ~ exp(2) * 2^(2*n-1) * n^(2*n). - Vaclav Kotesovec, Apr 15 2020
MATHEMATICA
a[n_] := ChebyshevT[2n, n+1];
Table[a[n], {n, 0, 12}] (* Jean-François Alcover, Jan 02 2019 *)
PROG
(PARI) {a(n) = polchebyshev(2*n, 1, n+1)}
(PARI) {a(n) = sum(k=0, n, binomial(2*n, 2*k)*(n^2+2*n)^(n-k)*(n+1)^(2*k))}
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Dec 30 2018
STATUS
approved