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constants.ries
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constants.ries
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# Note! "EulerGamma" is too long a name!
-X "4:Gamma:Gamma = lim{n->oo}sum_{i=1}^n1/i-ln(n):0.57721566490153286060651209008"
-X "4:plastic:plastic = RootOf(x^3-x-1):1.324717957244746025960908854"
-X "4:apery:apery = Apery's constant ζ(3)":1.20205690315959428539973816151"
# geometric mean of partial quotients of almost all continued fractions
# ='exp(Sum(((-1)**(2*x)*lerchphi(exp_polar(I*pi), 1, 2*x) + log(2))*(zeta(2*x) - 1)/x, (x, 1, oo))/log(2))' (in sympy)
-X "4:Khinchin:Khinchin = Khinchin's Constant:2.68545200106530644530971483548"
# I(1,2)/I(0,2) (Bessel I)
-X "4:CF:CF = ContinuedFraction([0;1,2,3,4...]):0.69777465796400798200679059255"
# lim{n->oo} q_n^(1/n) for q_n being denominators of convergents
# of almost all continued fractions.
# = exp(pi^2/(12*ln(2)))
-X "4:Levy:Levy = Levy's constant, exp(pi^2/(12*ln(2))):3.27582291872181115978768188245"
# sum of reciprocals of fibonacci numbers
-X "4:RFib:RFib = reciprocal fibonacci constant:3.3598856662431775531720113029"
# alternating sum of squares of odd numbers
-X "4:Catalan:Catalan = Catalan's constant:0.915965594177219015054603514932"
-X "4:G(gamma):G(gamma) = Γ(γ):1.5438817418156616987201193884"
-X "4:i^i:i^i = 0.207879576...:0.207879576350761908546955619835"