This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A078885 #23 Nov 11 2020 02:05:53 %S A078885 4,5,6,9,4,2,5,6,2,4,7,7,6,3,9,6,6,1,1,1,5,4,9,1,8,2,6,1,6,6,9,0,3,0, %T A078885 3,7,9,8,9,9,4,2,5,9,9,7,1,3,8,3,1,1,9,2,0,9,1,0,5,6,8,7,4,3,0,9,9,8, %U A078885 2,4,1,8,2,9,9,6,9,0,0,2,9,5,1,8,8,2,5,1,5,2,6,6,8,0,6,8,7,7,5,3,3,4,5,2,5 %N A078885 Decimal expansion of Sum {n>=0} 1/3^(2^n). %H A078885 Harry J. Smith, <a href="/A078885/b078885.txt">Table of n, a(n) for n = 0..20000</a> %H A078885 Aubrey J. Kempner, <a href="https://doi.org/10.1090/S0002-9947-1916-1501054-4">On Transcendental Numbers</a>, Transactions of the American Mathematical Society, volume 17, number 4, October 1916, pages 476-482. %H A078885 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A078885 Equals -Sum_{k>=1} mu(2*k)/(3^k - 1), where mu is the Möbius function (A008683). - _Amiram Eldar_, Jul 12 2020 %e A078885 0.456942562477639661115491826166903037989942599713831192091056874309982... %t A078885 RealDigits[ N[ Sum[1/3^(2^n), {n, 0, Infinity}], 110]] [[1]] %o A078885 (PARI) default(realprecision, 20080); x=suminf(n=0, 1/3^(2^n)); x*=10; for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b078885.txt", n, " ", d)); \\ _Harry J. Smith_, May 10 2009 %Y A078885 Cf. A004200 (continued fraction), A011764. %Y A078885 Similar sums: A007404, A078585, A078886, A078887, A078888, A078889, A078890, A036987. %K A078885 cons,nonn %O A078885 0,1 %A A078885 _Robert G. Wilson v_, Dec 11 2002