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A132034 Decimal expansion of Product_{k>0} (1-1/6^k). 22

%I

%S 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,

%T 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,

%U 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

%N Decimal expansion of Product_{k>0} (1-1/6^k).

%H G. C. Greubel, <a href="/A132034/b132034.txt">Table of n, a(n) for n = 0..1200</a>

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

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

%e 0.805687728162164940923750...

%t 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 *)

%t N[Qpochhammer[1/6,1/6]] (* _G. C. Greubel_, Nov 30 2015 *)

%o (PARI) prodinf(x=1, 1-(1/6)^x) \\ _Altug Alkan_, Dec 01 2015

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

%K nonn,cons

%O 0,1

%A _Hieronymus Fischer_, Aug 14 2007

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Last modified May 25 19:29 EDT 2019. Contains 323576 sequences. (Running on oeis4.)