|
|
A349075
|
|
a(n) = U(n, 2*n), where U(n, x) is the Chebyshev polynomial of the second kind.
|
|
4
|
|
|
1, 4, 63, 1704, 64769, 3168060, 189447551, 13389885712, 1092011153409, 100934312212404, 10426892198423999, 1190514147664125240, 148874434455514989313, 20235554722675691942764, 2970511463324707397138175, 468359315014627272862943520, 78938449723310515780367269889
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = ((2*n + sqrt(4*n^2-1))^(n+1) - (2*n - sqrt(4*n^2-1))^(n+1)) / (2*sqrt(4*n^2-1)).
a(n) ~ 4^n * n^n.
|
|
MATHEMATICA
|
Table[ChebyshevU[n, 2*n], {n, 0, 20}]
|
|
PROG
|
(PARI) a(n) = polchebyshev(n, 2, 2*n); \\ Michel Marcus, Nov 07 2021
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|