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A243340 Decimal expansion of 4*L/(3*Pi), a constant related to the asymptotic evaluation of the number of primes of the form a^2+b^4, where L is Gauss' lemniscate constant. 1
1, 1, 1, 2, 8, 3, 5, 7, 8, 8, 8, 9, 8, 7, 6, 4, 2, 4, 8, 3, 7, 5, 2, 3, 9, 6, 4, 3, 7, 3, 2, 0, 6, 2, 4, 1, 1, 9, 9, 1, 9, 9, 0, 6, 8, 4, 6, 5, 3, 7, 9, 6, 0, 0, 3, 2, 6, 6, 4, 3, 6, 4, 9, 3, 4, 7, 1, 5, 7, 5, 9, 9, 0, 2, 7, 9, 3, 6, 8, 5, 4, 9, 1, 5, 9, 5, 8, 8, 2, 1, 3, 8, 0, 1, 7, 0, 0, 4, 3, 2, 1, 7, 2, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.3 Landau-Ramanujan constant, p. 102.

LINKS

Table of n, a(n) for n=1..105.

Eric Weisstein's MathWorld, Lemniscate Constant

FORMULA

2*sqrt(2*Pi)/(3*Gamma(3/4)^2).

EXAMPLE

1.11283578889876424837523964373206241199199...

MATHEMATICA

L = Pi^(3/2)/(Sqrt[2]*Gamma[3/4]^2); RealDigits[4*L/(3*Pi), 10, 103] // First

CROSSREFS

Cf. A062539 (L), A225119 (L/3).

Sequence in context: A199072 A201748 A011431 * A173823 A278115 A222296

Adjacent sequences:  A243337 A243338 A243339 * A243341 A243342 A243343

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Jun 03 2014

STATUS

approved

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Last modified October 17 11:59 EDT 2019. Contains 328110 sequences. (Running on oeis4.)