A065465 - OEIS

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A065465

Decimal expansion of product(1 - 1/(p^2*(p+1))), p prime >= 2).

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

	OFFSET	`0,1`
	REFERENCES	`Eckford Cohen, Arithmetical functions associated with the unitay divisors of an integer, Math. Zeitschr. 74 (1960) 66-80`
	LINKS	`Table of n, a(n) for n=0..97.` `R. J. Mathar, Hardy-Littlewood constants embedded into infinite products..., arXiv:0903.2514, Table 5, constant Q_1^(2).` `G. Niklasch, Some number theoretical constants: 1000-digit values [Cached copy]` `Simon Plouffe, Generalized expansions of real numbers, 2006` `Eric Weisstein's World of Mathematics, Quadratic Class Number Constant` `Eric Weisstein's World of Mathematics, Prime Products`
	FORMULA	`sum_{n>=1} phi(n)/(nJ(n)) = (this constant)A013661 with phi()=A000010() and J() = A007434() [Cohen, Corollary 5.1.1] - R. J. Mathar, Apr 11 2011`
	EXAMPLE	`0.88151383972517077692839182290...`
	CROSSREFS	`Cf. A078087.` `Sequence in context: A091648 A135707 A021923 * A199597 A197848 A224875` `Adjacent sequences: A065462 A065463 A065464 * A065466 A065467 A065468`
	KEYWORD	`cons,nonn,changed`
	AUTHOR	`N. J. A. Sloane, Nov 19 2001`
	STATUS	`approved`

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Last modified April 25 03:36 EDT 2014. Contains 240994 sequences.