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A088540 Decimal expansion of 4/sqrt(Pi)*exp(-gamma/2)*K where K is the Landau-Ramanujan constant and gamma the Euler-Mascheroni constant. +0
1
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; cons; graph; listen)
OFFSET

1,2

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

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]

EXAMPLE

1.2923041571286886071...

CROSSREFS

Cf. A064533.

Sequence in context: A153739 A019645 A011065 this_sequence A019826 A121602 A011324

Adjacent sequences: A088537 A088538 A088539 this_sequence A088541 A088542 A088543

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 16 2003

EXTENSIONS

Offset corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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