This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A292178 Decimal expansion of: Sum_{n>=1} -1 / (n * (1/2 - 2^n)^n). 6
 6, 2, 6, 6, 3, 6, 1, 3, 8, 7, 8, 9, 4, 3, 6, 3, 3, 9, 7, 1, 9, 2, 2, 4, 1, 1, 7, 2, 8, 0, 9, 6, 2, 6, 5, 9, 2, 4, 4, 0, 8, 3, 3, 3, 8, 4, 3, 4, 3, 3, 6, 9, 0, 0, 2, 6, 3, 1, 3, 2, 9, 0, 6, 2, 4, 9, 2, 3, 0, 1, 1, 1, 6, 8, 1, 4, 8, 8, 7, 4, 8, 3, 9, 5, 1, 4, 3, 9, 6, 9, 5, 4, 5, 8, 9, 7, 7, 2, 3, 8, 0, 9, 0, 9, 9, 7, 7, 7, 3, 6, 8, 4, 8, 2, 9, 5, 1, 0, 8, 4, 7, 1, 7, 2, 5, 0, 4, 4, 9, 4, 3, 7, 7, 4, 3, 5, 3, 4, 8, 8, 3, 9, 5, 5, 5, 7, 3, 6, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This constant plus A292179 equals log(2), due to the identity (at x = 1/2): Sum_{n=-oo..+oo, n<>0}  (x - x^n)^n / n  =  -log(1-x). LINKS Paul D. Hanna, Table of n, a(n) for n = 0..500 FORMULA Constant: Sum_{n>=1}  -(-1)^n * 2^n / (n * (2^(n+1) - 1)^n). Constant: log(2) - Sum_{n>=1} (2^(n-1) - 1)^n / (n * 2^(n^2)). EXAMPLE Constant t = 0.62663613878943633971922411728096265924408333843433690026313290... where t = 2/(1*3) - 4/(2*7^2) + 8/(3*15^3) - 16/(4*31^4) + 32/(5*63^5) - 64/(6*127^6) + 128/(7*255^7) - 256/(8*511^8) + 512/(9*1023^9) - 1024/(10*2047^10) + 2048/(11*4095^11) - 4096/(12*8191^12) + 8192/(13*16383^13) - 16384/(14*32767^14) + 32768/(15*65535^15) +... Also, log(2) - t = 0/(1*2) + 1^2/(2*2^4) + 3^3/(3*2^9) + 7^4/(4*2^16) + 15^5/(5*2^25) + 31^6/(6*2^36) + 63^7/(7*2^49) + 127^8/(8*2^64) + 255^9/(9*2^81) + 511^10/(10*2^100) + 1023^11/(11*2^121) + 2047^12/(12*2^144) + 4095^13/(13*2^169) + 8191^14/(14*2^196) + 16383^15/(15*2^225) +... (constant A292179) CROSSREFS Cf. A292179. Sequence in context: A308258 A214508 A011005 * A281961 A217481 A318300 Adjacent sequences:  A292175 A292176 A292177 * A292179 A292180 A292181 KEYWORD nonn,cons AUTHOR Paul D. Hanna, Oct 05 2017 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.

Last modified October 21 01:15 EDT 2019. Contains 328291 sequences. (Running on oeis4.)