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A088540
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Decimal expansion of 4/sqrt(Pi)*exp(-gamma/2)*K where K is the Landau-Ramanujan constant and gamma the Euler-Mascheroni constant.
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0
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1, 2, 9, 2, 3, 0, 4, 1, 5, 7, 1, 2, 8, 6, 8, 8, 6, 0, 7, 1, 0, 9, 1, 3, 8, 3, 8, 9, 8, 7, 0, 4, 3, 2, 0, 6, 5, 3, 4, 2, 9, 6, 1, 4, 2, 5, 0, 1, 2, 9, 9, 7, 2, 4, 1, 2, 2, 7, 6, 2, 9, 2, 3, 1, 6, 1, 9, 5, 0, 0, 0, 5, 5, 2, 8, 2, 3, 2, 0, 7, 9, 4, 2, 7, 3, 0, 3, 0, 7, 5, 9, 7, 5, 5, 2, 4, 4, 9, 9, 4, 1, 6, 1, 3, 2
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| An illustration of the Chebyshev effect.
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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
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FORMULA
| 4/sqrt(Pi)*exp(-gamma/2)*K=lim x ->oo prod(1-1/p) where p runs through the primes p==1 mod 4 and p<=x.
4*A087197*A064533/exp(A155739). [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009]
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EXAMPLE
| 1.2923041571286886071...
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CROSSREFS
| Cf. A064533.
Sequence in context: A153739 A019645 A011065 * A019826 A121602 A011324
Adjacent sequences: A088537 A088538 A088539 * A088541 A088542 A088543
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KEYWORD
| cons,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 16 2003
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EXTENSIONS
| Offset corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009
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