id:A117605 - OEIS Search Results

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Decimal expansion of the real solution to equation x^3 + 3*x = 2.

+0
1

5, 9, 6, 0, 7, 1, 6, 3, 7, 9, 8, 3, 3, 2, 1, 5, 2, 3, 1, 1, 2, 8, 0, 5, 4, 1, 4, 3, 9, 9, 6, 8, 1, 8, 2, 8, 1, 1, 3, 3, 2, 5, 4, 9, 4, 3, 9, 6, 2, 1, 3, 1, 9, 4, 3, 2, 4, 7, 9, 0, 8, 3, 0, 3, 6, 0, 0, 5, 1, 6, 2, 6, 8, 6, 2, 0, 8, 9, 1, 8, 5, 8, 7, 1, 6, 6, 0, 3, 3, 7, 5, 4, 2, 8, 4, 7, 5, 4, 7, 4 (list; cons; graph; listen)

	OFFSET	`0,1`
	COMMENT	`A014176 Decimal expansion of the silver mean, 1+sqrt(2). Interestingly, when we look for x=0.596071637983321523112805414399681828113325, Plouffe's Inverter ( http://pi.lacim.uqam.ca/eng/) replies: "Roots of polynomials of 4th degree (coeffs: -9..9) 5960716379833215 = 10+15x+5x^3" - with wrong sign of the first term.`
	FORMULA	`x =(1+sqrt(2))^(1/3)-1/(1+sqrt(2))^(1/3).`
	EXAMPLE	`x = 0.596071637983321523112805414399681828113325`
	MATHEMATICA	`RealDigits[N[Solve[3*z+z^3==2, z][[1, 1, 2]], 100]][[1]]`
	CROSSREFS	`Cf. A014176.` `Sequence in context: A133742 A134879 A051158 this_sequence A073003 A087498 A121060` `Adjacent sequences: A117602 A117603 A117604 this_sequence A117606 A117607 A117608`
	KEYWORD	`cons,nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Apr 27 2006`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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