A333239 Decimal expansion of lim_{n->infinity} (Product_{k=1..n} p(k)^2 / Product_{k=1..n} (p(k)^2 - 1)) where p(k) = A167135(k) are the primes with p mod 12 != 1.

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

Offset

1,2

Links

Table of n, a(n) for n=1..98.

Formula

A301430 = sqrt(A333239)*A333304.

Example

1.63250540290251307901036625893553760497201130044326292653142032442675746272540...

Crossrefs

Cf. A167135, A301430, A333304, A333240.

Sequence in context: A153607 A369876 A010494 * A078333 A302852 A348694

Adjacent sequences: A333236 A333237 A333238 * A333240 A333241 A333242

Keyword

nonn,cons,hard

Author

Peter Luschny, May 13 2020

Status

approved