OFFSET
0,2
COMMENTS
Chebyshev polynomial of the second kind U(5,n).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
FORMULA
G.f.: x*(6 + 744*x + 2340*x^2 + 744*x^3 + 6*x^4)/(1 - x)^6.
a(n) = 2*n*(2*n-1)*(2*n+1)*(4*n^2-3).
MATHEMATICA
Table[32 n^5 - 32 n^3 + 6 n, {n, 0, 40}] (* or *) Table[ChebyshevU[5, n], {n, 0, 40}]
PROG
(Magma) [32*n^5-32*n^3+6*n: n in [0..40]];
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, May 29 2014
EXTENSIONS
Edited by Bruno Berselli, May 29 2014
STATUS
approved