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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

0,2

COMMENT

An illustration of the Chebyshev effect.

REFERENCES

Steven 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.

EXAMPLE

1.2923041571286886071...

CROSSREFS

Cf. A064533.

Sequence in context: A095178 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

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.


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