id:A091007 - OEIS Search Results

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Decimal expansion of Sum[ArcCot[n^2],{n,Infinity}].

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

	OFFSET	`1,2`
	COMMENT	`Wilf's constant. [From Artur Jasinski (grafix(AT)csl.pl), Sep 25 2008]`
	LINKS	`Eric Weisstein's World of Mathematics, Inverse Cotangent`
	FORMULA	`Decimal expansion of transcedental number ArcCot[(1 + t)/(1 - t)]; where t=Cot[Pi Sqrt[2]/2] Tanh[Pi Sqrt[2]/2] [From Artur Jasinski (grafix(AT)csl.pl), Sep 25 2008]`
	EXAMPLE	`1.42474177...`
	MATHEMATICA	`t = Cot[Pi Sqrt[2]/2] Tanh[Pi Sqrt[2]/2]; s = ArcCot[(1 + t)/(1 - t)]; RealDigits[N[s, 102]] [From Artur Jasinski (grafix(AT)csl.pl), Sep 25 2008]`
	CROSSREFS	`Sequence in context: A114566 A013679 A096428 this_sequence A110638 A154995 A154973` `Adjacent sequences: A091004 A091005 A091006 this_sequence A091008 A091009 A091010`
	KEYWORD	`nonn,cons`
	AUTHOR	`Eric Weisstein (eric(AT)weisstein.com), Dec 13, 2003`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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