A144138 - OEIS

A144138

Chebyshev polynomial of the second kind U(3,n).

0, 4, 56, 204, 496, 980, 1704, 2716, 4064, 5796, 7960, 10604, 13776, 17524, 21896, 26940, 32704, 39236, 46584, 54796, 63920, 74004, 85096, 97244, 110496, 124900, 140504, 157356, 175504, 194996, 215880, 238204, 262016, 287364, 314296, 342860, 373104, 405076

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

G.f.: 4*x*(1 + 10*x + x^2)/(1 - x)^4. - Vincenzo Librandi, May 29 2014

a(n) = 4*n*(2*n^2-1). - Vincenzo Librandi, May 29 2014

MATHEMATICA

Table[ChebyshevU[3, n], {n, 0, 100}] (* and *) Table[4n*(2*n^2-1), {n, 0, 100}]

CoefficientList[Series[4 x (1 + 10 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, May 29 2014 *)