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A243135 256*n^9 - 576*n^7 + 432*n^5 - 120*n^3 + 9*n. 2
0, 1, 70226, 3880899, 58106404, 456335045, 2421980406, 9863382151, 33165873224, 96450076809, 250283080090, 592479412811, 1300371936876, 2678768828749, 5228741809214, 9743412645135, 17438019715216, 30122754096401, 50428155189474, 82094249361619 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
REFERENCES
Chebyshev polynomial of the first kind T(9,n).
LINKS
FORMULA
G.f.: x *(1 + 70216*x + 3178684*x^2 + 22457464*x^3 + 41484550*x^4 + 22457464*x^5 + 3178684*x^6 + 70216*x^7 + x^8)/(1 - x)^10.
a(n) = n*(4*n^2 - 3)*(64*n^6 - 96*n^4 + 36*n^2 - 3).
MAPLE
a:= n-> simplify(ChebyshevT(9, n)):
seq(a(n), n=0..30); # Alois P. Heinz, May 31 2014
MATHEMATICA
Table[ChebyshevT[9, n], {n, 0, 20}] (* or *) Table[256 n^9 - 576 n^7 + 432 n^5 - 120 n^3 + 9 n, {n, 0, 20}]
PROG
(Magma) [256*n^9-576*n^7+432*n^5-120*n^3+9*n: n in [0..20]];
CROSSREFS
Sequence in context: A043876 A224464 A233987 * A253738 A252104 A236016
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, May 31 2014
STATUS
approved

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Last modified February 26 21:28 EST 2024. Contains 370352 sequences. (Running on oeis4.)