A191999 Denominators of partial products of a Hardy-Littlewood constant.

1, 2, 8, 16, 160, 640, 2048, 12288, 24576, 32768, 327680, 786432, 10485760, 62914560, 125829120, 167772160, 9730785280, 583847116800, 3503082700800, 245215789056000

Offset

1,2

Comments

See A191998.

Links

Table of n, a(n) for n=1..20.

Formula

a(n) = denominator(r(n)) with

r(n):=product(1-Chi_2(4;p(j))/(p(j)-1),j=1..n), n>=1, with the primes p(j)=A000040(j) and the nontrivial Dirichlet Character modulo 4, called here Chi_2(4;k) = A056594(k).

Example

The rationals r(n) are: 1, 3/2, 9/8, 21/16, 231/160, 847/640, 2541/2048, ...

Crossrefs

Cf. A191998, A191996/A191997.

Sequence in context: A013516 A259688 A101059 * A101658 A308613 A006573

Adjacent sequences: A191996 A191997 A191998 * A192000 A192001 A192002

Keyword

nonn,easy,frac

Author

Wolfdieter Lang, Jun 21 2011

Status

approved