login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A065418 Decimal expansion of Hardy-Littlewood constant product(1-(3*p-1)/(p-1)^3, p prime >= 5). 5
6, 3, 5, 1, 6, 6, 3, 5, 4, 6, 0, 4, 2, 7, 1, 2, 0, 7, 2, 0, 6, 6, 9, 6, 5, 9, 1, 2, 7, 2, 5, 2, 2, 4, 1, 7, 3, 4, 2, 0, 6, 5, 6, 8, 7, 3, 3, 2, 3, 7, 2, 4, 5, 0, 8, 9, 9, 7, 3, 4, 4, 6, 0, 4, 8, 6, 7, 8, 4, 6, 1, 3, 1, 1, 6, 1, 3, 9, 1, 8, 8, 2, 0, 8, 0, 2, 9, 1, 3, 8, 6, 7, 6, 4, 0, 4, 6, 1, 7 (list; constant; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

For comparison: product_{n>=5} (1-(3n-1)/(n-1)^3) = 3/8 . [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 25 2009]

LINKS

R. J. Mathar, Hardy-Littlewood constants embedded into infinite products over all positive integers, constant C_1^(3).

G. Niklasch, Some number theoretical constants: 1000-digit values [Cached copy]

FORMULA

The constant equals product_{n>=2} (zeta(n)*(1-2^-n)*(1-3^-n))^-A027376(n). - Michael Somos, Apr 05 2003

EXAMPLE

0.635166354604271207206696591272522417342...

CROSSREFS

Cf. A066654, A065419, A027376.

Sequence in context: A019165 A195490 A195471 * A153595 A195482 A199728

Adjacent sequences:  A065415 A065416 A065417 * A065419 A065420 A065421

KEYWORD

cons,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 15 2001

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 16 14:00 EST 2012. Contains 205921 sequences.