id:A115456 - OEIS Search Results

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Decimal expansion of mean perimeter of a quadrilateral inscribed in a square of unit side.

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

	OFFSET	`1,1`
	COMMENT	`4 Integrate[Sqrt[x^2+y^2],{x,0,1},{y,0,1}]=(4/3)*(Sqrt[2] + ArcSinh[1])`
	EXAMPLE	`(4/3)(sqrt(2)+ln(sqrt(2)+1))=4/3(sqrt(2)+ArcSinh(1))=3.0607828658568507653790640655859871834637762715181`
	MATHEMATICA	`RealDigits[N[(4/3)*(Sqrt + ArcSinh[1]), 100]][[1]]`
	CROSSREFS	`Adjacent sequences: A115453 A115454 A115455 this_sequence A115457 A115458 A115459` `Sequence in context: A099892 A060147 A092731 this_sequence A007386 A007385 A022899`
	KEYWORD	`cons,nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), May 07 2007`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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