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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A132034 Decimal expansion of Product_{k>0} (1-1/6^k). 22
8, 0, 5, 6, 8, 7, 7, 2, 8, 1, 6, 2, 1, 6, 4, 9, 4, 0, 9, 2, 3, 7, 5, 0, 2, 1, 5, 4, 9, 6, 2, 9, 8, 9, 6, 8, 9, 1, 7, 9, 9, 7, 6, 2, 8, 6, 9, 3, 9, 2, 6, 6, 9, 2, 0, 8, 5, 7, 5, 6, 8, 1, 0, 0, 7, 2, 1, 9, 4, 1, 0, 5, 4, 8, 2, 0, 3, 6, 2, 0, 2, 0, 4, 5, 6, 3, 0, 4, 3, 7, 7, 0, 0, 5, 3, 2, 8, 0, 2, 7, 5, 2, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1200

FORMULA

Equals exp( -Sum_{n>0} sigma_1(n)/(n*6^n) ).

Equals (1/6; 1/6)_{infinity}, where (a;q)_{infinity} is the q-Pochhammer symbol. - G. C. Greubel, Nov 30 2015

EXAMPLE

0.805687728162164940923750...

MATHEMATICA

digits = 103; NProduct[1-1/6^k, {k, 1, Infinity}, NProductFactors -> 100, WorkingPrecision -> digits+20] // N[#, digits+20]& // RealDigits[#, 10, digits]& // First (* Jean-Fran├žois Alcover, Feb 18 2014 *)

N[Qpochhammer[1/6, 1/6]] (* G. C. Greubel, Nov 30 2015 *)

PROG

(PARI) prodinf(x=1, 1-(1/6)^x) \\ Altug Alkan, Dec 01 2015

CROSSREFS

Cf. A000203, A027873, A048651, A067080, A098844, A100220, A132022, A132026, A132038.

Sequence in context: A146293 A019724 A195400 * A190281 A107950 A273634

Adjacent sequences:  A132031 A132032 A132033 * A132035 A132036 A132037

KEYWORD

nonn,cons

AUTHOR

Hieronymus Fischer, Aug 14 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 21 06:42 EDT 2019. Contains 322310 sequences. (Running on oeis4.)