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 A174308 Values of the family of polynomials y = Sum_{z = 0..n-1} x^z at point x = discriminant of y. 8

%I #11 Mar 02 2023 11:25:25

%S 1,2,7,-3855,246109501,3658981728433681,22537999301860113141522943,

%T -85070267212918892756053780436965654527,

%U 273892802259521776518514883585359984420603636167980521,1000000010000000100000001000000010000000100000001000000010000000100000001

%N Values of the family of polynomials y = Sum_{z = 0..n-1} x^z at point x = discriminant of y.

%t Clear[x]; s = {}; Do[pol = Simplify[(x^n - 1)/(x - 1)]; d = Discriminant[pol, x]; AppendTo[s, pol /. x -> d], {n, 1, 10}]; s

%o (PARI) a(n) = my(p=sum(k=0, n-1, x^k)); subst(p, x, poldisc(p)); \\ _Michel Marcus_, Mar 02 2023

%Y Cf. A174304, A174305, A174306, A174307, A174308, A174309, A174310, A174311.

%K sign

%O 1,2

%A _Artur Jasinski_, Mar 15 2010

%E One more term from _Michel Marcus_, Mar 02 2023

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Last modified May 19 02:13 EDT 2024. Contains 372666 sequences. (Running on oeis4.)