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A134450 a(n) = square part of discriminant of Brioschi quintic polynomial x^5-10*n*x^3+45*n^2*x-n^2. 1
43175, 1382000, 10495575, 44230400, 134984375, 335890800, 726002375, 1415475200, 2550752775, 4319750000, 6957037175, 10749024000, 16039143575, 23233036400, 32803734375, 45296844800, 61335734375 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The squarefree part is always 5.

LINKS

Matthew Moore, Theorems and Algorithms Associated with Solving the General Quintic [Appears to give incorrect formula for the Brioschi quintic]

Tito Piezas III and Eric Weisstein's World of Mathematics, Brioschi Quintic Form

FORMULA

a(n)=25n^4(1728n-1). - Klaus Brockhaus.

MATHEMATICA

Table[25n^4(1728n-1), {n, 1, 100}]

CROSSREFS

Cf. A134448.

Sequence in context: A205733 A205914 A205906 * A141085 A151623 A151660

Adjacent sequences:  A134447 A134448 A134449 * A134451 A134452 A134453

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Oct 26 2007, Oct 28 2007

EXTENSIONS

Corrected by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 28 2007

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Last modified February 17 07:41 EST 2012. Contains 205998 sequences.