A334746 - OEIS

A334746

Denominator of Sum_{k=1..n} 1/(prime(k) - 1)^2.

1, 4, 16, 144, 3600, 1800, 57600, 518400, 62726400, 3073593600, 614718720, 614718720, 3073593600, 3073593600, 1625931014400, 274782341433600, 231091949145657600, 231091949145657600, 231091949145657600, 231091949145657600, 77030649715219200

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OFFSET

1,2

COMMENTS

Lim_{n -> infinity}A119686(n)/a(n) =A086242.

LINKS

Table of n, a(n) for n=1..21.

Eric Weisstein's World of Mathematics,Prime Sums.

EXAMPLE

The first few fractions are 1, 5/4, 21/16, 193/144, 4861/3600, 2443/1800, 78401/57600, 707209/518400,... =A119686/A334746.

MATHEMATICA

Denominator @ Accumulate @ Table[1/(Prime[k] - 1)^2, {k, 1, 21}] (*Amiram Eldar,May 12 2020 *)

PROG

(PARI) a(n) = denominator(sum(k=1, n, 1/(prime(k) - 1)^2)); \\Michel Marcus,May 12 2020

CROSSREFS

Cf.A000040,A006093,A086242,A119686(numerators).

Sequence in context:A335400 A304193 A208661*A262123 A005749 A005739

Adjacent sequences:A334743 A334744 A334745*A334747 A334748 A334749

KEYWORD

nonn,frac

AUTHOR

Petros Hadjicostas,May 11 2020

STATUS

approved