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A243132 32*n^6 - 48*n^4 + 18*n^2 - 1. 3
-1, 1, 1351, 19601, 119071, 470449, 1431431, 3650401, 8193151, 16692641, 31521799, 55989361, 94558751, 153090001, 239104711, 362074049, 533729791, 768398401, 1083358151, 1499219281, 2040327199, 2735188721, 3616921351, 4723725601, 6099380351, 7793761249 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Chebyshev polynomial of the first kind T(6,n).

LINKS

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

FORMULA

G.f.: (-1 + 8*x + 1323*x^2 + 10200*x^3 + 10165*x^4 + 1344*x^5 + x^6)/(1 - x)^7.

a(n) = (2*n^2 - 1)*(16*n^4 - 16*n^2 + 1).

MATHEMATICA

Table[ChebyshevT[6, n], {n, 0, 40}] (* or *) Table[32 n^6 - 48 n^4 + 18 n^2 - 1, {n, 0, 20}]

PROG

(MAGMA) [32*n^6-48*n^4+18*n^2-1: n in [0..40]];

CROSSREFS

Cf. A056220, A144129, A144130.

Sequence in context: A278383 A174638 A154375 * A035889 A192320 A237310

Adjacent sequences:  A243129 A243130 A243131 * A243133 A243134 A243135

KEYWORD

sign,easy

AUTHOR

Vincenzo Librandi, May 31 2014

STATUS

approved

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Last modified July 14 10:05 EDT 2020. Contains 335721 sequences. (Running on oeis4.)