id:A088541 - OEIS Search Results

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Decimal expansion of sqrt(Pi)/(2K)*exp(-gamma/2) where K is the Landau-Ramanujan constant and gamma the Euler-Mascheroni constant.

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

	OFFSET	`0,1`
	COMMENT	`An illustration of the Chebyshev effect.`
	REFERENCES	`S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, p. 100` `S. Uchiyama, On some products involving primes, Proc. Amer. Math. Soc. 28 (1971) 629-630; MR 43#3227`
	FORMULA	`sqrt(Pi)/(2K)*exp(-gamma/2) =lim x-->oo prod(1-1/p) where p runs through the primes p==3 mod 4 and p<=x`
	EXAMPLE	`0.868927768234323...`
	CROSSREFS	`Cf. A064533.` `Sequence in context: A011465 A159627 A011298 this_sequence A110214 A093721 A091506` `Adjacent sequences: A088538 A088539 A088540 this_sequence A088542 A088543 A088544`
	KEYWORD	`cons,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 16 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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