A113319 - OEIS

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A113319

Decimal expansion of sum(k>=0,1/(k^2+1)).

2, 0, 7, 6, 6, 7, 4, 0, 4, 7, 4, 6, 8, 5, 8, 1, 1, 7, 4, 1, 3, 4, 0, 5, 0, 7, 9, 4, 7, 5, 0, 0, 0, 0, 4, 9, 0, 4, 4, 5, 6, 5, 6, 2, 6, 6, 4, 0, 3, 8, 1, 6, 6, 6, 5, 5, 7, 5, 0, 6, 2, 4, 8, 4, 3, 9, 0, 1, 5, 4, 2, 4, 7, 9, 1, 8, 3, 1, 0, 0, 2, 1, 7, 4, 3, 5, 6, 5, 5, 5, 1, 7, 5, 9, 3, 9, 5, 4, 9, 1, 8, 7, 6, 5, 1 (list; constant; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`Known to be transcendental. After n=2 it is the same as A100554(n).`
	REFERENCES	`Michel Waldschmidt, Elliptic functions and transcendance, dec. 2005, to appear`
	FORMULA	`sum(k>=0, 1/(k^2+1))=1/2+Pi/2/tanh(Pi)=2.0766740474685811741...`
	PROG	`(PARI) 1/2+Pi/2/tanh(Pi)`
	CROSSREFS	`Sequence in context: A021486 A104540 A178818 * A021832 A160509 A049006` `Adjacent sequences: A113316 A113317 A113318 * A113320 A113321 A113322`
	KEYWORD	`cons,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 07 2006`

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Last modified February 14 14:47 EST 2012. Contains 205623 sequences.