The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A345929

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A345929

Decimal expansion of Product_{k>=1} (1 + 1/k + 1/k^2)^2/(1 + 2/k + 3/k^2).
(history; published version)

#5 by Michel Marcus at Wed Jun 30 02:40:20 EDT 2021

STATUS

reviewed

approved

#4 by Joerg Arndt at Wed Jun 30 01:56:54 EDT 2021

STATUS

proposed

reviewed

#3 by Amiram Eldar at Tue Jun 29 16:34:11 EDT 2021

STATUS

editing

proposed

#2 by Amiram Eldar at Tue Jun 29 16:31:41 EDT 2021

NAME

allocated for Amiram EldarDecimal expansion of Product_{k>=1} (1 + 1/k + 1/k^2)^2/(1 + 2/k + 3/k^2).

DATA

1, 8, 4, 8, 9, 3, 6, 1, 8, 2, 8, 5, 8, 2, 4, 4, 4, 8, 5, 2, 2, 4, 9, 2, 6, 8, 5, 5, 5, 2, 0, 8, 3, 9, 0, 5, 9, 0, 9, 2, 5, 9, 2, 5, 3, 1, 8, 9, 6, 3, 9, 7, 1, 9, 1, 8, 2, 8, 1, 4, 0, 1, 7, 3, 7, 5, 0, 2, 6, 6, 5, 6, 8, 0, 7, 9, 0, 6, 7, 7, 9, 4, 4, 6, 9, 7, 8

OFFSET

1,2

LINKS

Jonathan M. Borwein and Robert M. Corless, <a href="http://www.jstor.org/stable/2589743">Emerging Tools for Experimental Mathematics</a>, The American Mathematical Monthly, Vol. 106, No. 10 (1999), pp. 889-909.

FORMULA

Equals 3*sqrt(2)*cosh(Pi*sqrt(3)/2)^2/(Pi*sinh(Pi*sqrt(2))).

EXAMPLE

1.84893618285824448522492685552083905909259253189639...

MATHEMATICA

RealDigits[3*Sqrt[2]*Cosh[Pi*Sqrt[3]/2]^2/(Pi*Sinh[Pi*Sqrt[2]]), 10, 100][[1]]

CROSSREFS

Cf. A090986.

KEYWORD

allocated

nonn,cons

AUTHOR

Amiram Eldar, Jun 29 2021

STATUS

approved

editing

#1 by Amiram Eldar at Tue Jun 29 16:31:41 EDT 2021

NAME

allocated for Amiram Eldar

KEYWORD

allocated

STATUS

approved