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 A126271 a(n) = order of Galois group of the polynomial P(x) + n if P(x) + n (after dividing by the gcd of its coefficients) is irreducible, otherwise a(n) = 0, where P(x) = 128*x^8 - 256*x^6 + 160*x^4 - 32*x^2 + 1. 1
 32, 32, 16, 32, 32, 32, 32, 32, 32, 16, 32, 32, 32, 16, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 16, 16, 32, 32, 32 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS P(x) = T_8(x) is the degree 8 Chebyshev polynomial of the first kind. LINKS Eric Weisstein's World of Mathematics, Chebyshev Polynomial of the First Kind PROG (MAGMA) Q:=RationalField(); R:=PolynomialRing(Q); f:=128*x^8 - 256*x^6 + 160*x^4 - 32*x^2 + 0; for n in {0 .. 30} do f:=f+1; Order(GaloisGroup(f)); end for; /* N. J. A. Sloane */ CROSSREFS Cf. A124827, A126270. Sequence in context: A022988 A023474 A208129 * A010871 A022366 A165853 Adjacent sequences:  A126268 A126269 A126270 * A126272 A126273 A126274 KEYWORD nonn AUTHOR Artur Jasinski, Dec 23 2006 EXTENSIONS Edited by N. J. A. Sloane, Dec 28 2007 STATUS approved

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