id:A101314 - OEIS Search Results

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Decimal expansion of constant K, the unique solution > 1 to 2*Pi*Log[k] == Pi*(1 - 1/k)

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

	OFFSET	`0,1`
	COMMENT	`Decimal expansion of the number K > 1 such that the surface area equals the volume of Gabriel's horn from x=1 to x=K, where x is the radial (central) axis and Gabriel's horn is a function y=1/x rotated about the x-axis.`
	LINKS	`Eric Weisstein's World of Mathematics, "Gabriel's Horn."`
	FORMULA	`-1/(2ProductLog[ -1, -1/(2Sqrt[E])])`
	EXAMPLE	`0.28466813704083846168022567676971913098650267058504543151693147097766894390259244378396375598601107506374321759990830585415825270...`
	MATHEMATICA	`RealDigits[ -1/(2ProductLog[ -1, -1/(2Sqrt[E])]), 10, 128][[1]]`
	CROSSREFS	`Sequence in context: A105351 A019611 A138287 this_sequence A054530 A021355 A110003` `Adjacent sequences: A101311 A101312 A101313 this_sequence A101315 A101316 A101317`
	KEYWORD	`cons,nonn`
	AUTHOR	`Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 23 2004`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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