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A242850
32*n^5 - 32*n^3 + 6*n.
7
0, 6, 780, 6930, 30744, 96030, 241956, 526890, 1032240, 1866294, 3168060, 5111106, 7907400, 11811150, 17122644, 24192090, 33423456, 45278310, 60279660, 79015794, 102144120, 130395006, 164575620, 205573770, 254361744, 312000150, 379641756, 458535330, 550029480, 655576494
OFFSET
0,2
COMMENTS
Chebyshev polynomial of the second kind U(5,n).
LINKS
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