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).

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

Offset

1,2

Comments

See the Defant link for more explanations on this constant.

Links

Table of n, a(n) for n=1..100.

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

Adjacent sequences: A318434 A318435 A318436 * A318438 A318439 A318440

Keyword

cons,nonn

Author

Michel Marcus, Aug 26 2018

Status

approved