id:A134450 - OEIS Search Results

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a(n) = square part of discriminant of Brioschi quintic polynomial x^5-10*n*x^3+45*n^2*x-n^2.

+0
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43175, 1382000, 10495575, 44230400, 134984375, 335890800, 726002375, 1415475200, 2550752775, 4319750000, 6957037175, 10749024000, 16039143575, 23233036400, 32803734375, 45296844800, 61335734375 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The square-free 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: A147635 A014892 A008850 this_sequence A141085 A151623 A151660` `Adjacent sequences: A134447 A134448 A134449 this_sequence 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 November 25 20:09 EST 2009. Contains 167514 sequences.

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