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A244850 Decimal expansion of 'c2', a constant (negated) closely related to 'c1', the Quinn-Rand-Strogatz (QRS) constant of nonlinear physics. 0
1, 0, 4, 6, 8, 5, 4, 5, 9, 4, 3, 3, 0, 7, 1, 1, 7, 6, 2, 6, 2, 1, 5, 8, 4, 3, 6, 5, 8, 3, 9, 5, 0, 3, 6, 1, 5, 6, 6, 3, 0, 6, 1, 8, 8, 4, 2, 2, 9, 2, 8, 6, 5, 9, 2, 4, 0, 8, 9, 7, 9, 9, 0, 3, 2, 4, 4, 5, 1, 6, 1, 1, 6, 4, 6, 0, 4, 9, 9, 5, 6, 6, 7, 8, 9, 2, 4, 0, 1, 9, 5, 0, 8, 7, 1, 2, 2, 5, 4, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..100.

D. H. Bailey and J. M. Borwein, Experimental computation as an ontological game changer, 2014. p. 21.

Eric Weisstein's MathWorld, QRS Constant.

FORMULA

c2 = c1 - c1^2 - 30*zeta(-1/2, c1/2)/zeta(3/2, c1/2), where zeta is the generalized Riemann zeta function.

EXAMPLE

-0.104685459433071176262158436583950361566306188422928659240897990324451611646...

MATHEMATICA

digits = 101; c1 = z /. FindRoot[Zeta[1/2, z/2], {z, 1}, WorkingPrecision -> digits+5]; c2 = c1 - c1^2 - 30*Zeta[-1/2, c1/2]/Zeta[3/2, c1/2]; RealDigits[c2, 10, digits] // First

CROSSREFS

Cf. A131329.

Sequence in context: A083257 A286366 A201336 * A188930 A159576 A199626

Adjacent sequences:  A244847 A244848 A244849 * A244851 A244852 A244853

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jul 07 2014

STATUS

approved

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Last modified March 22 10:07 EDT 2019. Contains 321421 sequences. (Running on oeis4.)