A243135 256*n^9 - 576*n^7 + 432*n^5 - 120*n^3 + 9*n.

0, 1, 70226, 3880899, 58106404, 456335045, 2421980406, 9863382151, 33165873224, 96450076809, 250283080090, 592479412811, 1300371936876, 2678768828749, 5228741809214, 9743412645135, 17438019715216, 30122754096401, 50428155189474, 82094249361619

Offset

0,3

References

Chebyshev polynomial of the first kind T(9,n).

Links

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

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

Cf. A056220, A144129, A144130.

Sequence in context: A043876 A224464 A233987 * A253738 A252104 A236016

Adjacent sequences: A243132 A243133 A243134 * A243136 A243137 A243138

Keyword

nonn,easy

Author

Vincenzo Librandi, May 31 2014

Status

approved