OFFSET
0,2
COMMENTS
Chebyshev polynomial of the second kind U(7,n).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
G.f.: (8*x + 10800*x^2 + 148728*x^3 + 326048*x^4 + 148728*x^5 + 10800*x^6 + 8*x^7)/(1-x)^8.
a(n) = 8*n*(2*n^2-1)*(8*n^4-8*n^2+1).
MATHEMATICA
Table[ChebyshevU[7, n], {n, 0, 30}] (* or *) Table[128 n^7 - 192 n^5 + 80 n^3 - 8 n, {n, 0, 30}]
PROG
(Magma) [128*n^7-192*n^5+80*n^3-8*n: n in [0..30]];
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, May 30 2014
STATUS
approved