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A318437 Decimal expansion of the constant that satisfies (2^x+1)*(3^x+1)^2/(2^x*(3^(2*x)+1)) = zeta(x)/zeta(2x). 0
1, 9, 7, 4, 2, 5, 5, 0, 2, 3, 0, 6, 4, 6, 5, 2, 5, 9, 3, 3, 7, 8, 3, 2, 6, 7, 5, 5, 1, 0, 9, 9, 6, 9, 5, 3, 6, 1, 8, 9, 0, 5, 8, 8, 9, 5, 6, 8, 5, 7, 0, 8, 3, 3, 0, 6, 1, 2, 5, 6, 0, 1, 8, 1, 5, 7, 5, 2, 1, 4, 0, 6, 4, 0, 3, 0, 9, 7, 7, 5, 0, 6, 9, 5, 3, 3, 1, 7, 9, 8, 1, 2, 9, 3, 0, 6, 6, 7, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See the Defant link for more explanations on this constant.
LINKS
Colin Defant, Ranges of Unitary Divisor Functions, arXiv:1507.02654 [math.NT], 2015-2018.
Colin Defant, Ranges of Unitary Divisor Functions, Integers, 18 (2018), #A15.
EXAMPLE
1.97425502306465259337832675510996953618905889568570833061256...
MATHEMATICA
RealDigits[x /. FindRoot[(2^x+1)*(3^x+1)^2/(2^x*(3^(2*x)+1)) == Zeta[x]/Zeta[2*x], {x, 3/2}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Sep 25 2022 *)
PROG
(PARI) solve(x=1.5, 2, (2^x+1)*(3^x+1)^2*zeta(2*x) - (2^x*(3^(2*x)+1)*zeta(x)))
CROSSREFS
Cf. A294795.
Sequence in context: A078527 A092425 A019647 * A357105 A011115 A019886
KEYWORD
cons,nonn
AUTHOR
Michel Marcus, Aug 26 2018
STATUS
approved

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Last modified June 27 19:26 EDT 2024. Contains 373753 sequences. (Running on oeis4.)