A258058 Constant x that satisfies: x = 1 + Sum_{n>=1} abs(frac(x^n) - 1/2) / 2^n.

1, 2, 1, 7, 9, 3, 6, 4, 0, 5, 4, 8, 0, 3, 5, 2, 8, 1, 0, 0, 7, 4, 4, 0, 7, 4, 5, 8, 1, 1, 7, 2, 6, 6, 2, 1, 8, 5, 5, 9, 0, 2, 6, 1, 2, 2, 9, 4, 5, 3, 6, 2, 8, 1, 5, 1, 3, 0, 3, 6, 0, 8, 4, 3, 9, 9, 3, 0, 8, 0, 2, 2, 1, 2, 8, 0, 7, 7, 8, 1, 0, 2, 4, 8, 1, 2, 2, 2, 1, 8, 3, 9, 0, 1, 0, 2, 2, 1, 1, 4, 0, 2, 2, 7, 4, 3, 4, 2, 1, 2, 6, 9, 1, 0, 1, 1, 9, 3, 5, 7, 7, 5, 3, 0, 1, 5, 7, 6, 6, 1, 3, 2, 2, 3, 6, 4, 4, 9, 0, 1, 5, 7, 7, 7, 3, 6, 9, 6, 9, 9, 7, 1, 1, 4, 5, 3, 0, 4, 1, 6, 1, 0, 3, 3, 7, 5, 5, 0, 3, 1, 3, 0, 5, 6, 7, 3, 0, 9, 6, 5, 5, 1, 1, 7, 1, 7, 1, 2, 2, 8, 6, 1, 9, 7, 8, 7, 5, 5, 4, 7

Offset

0,2

Links

Paul D. Hanna, Table of n, a(n) for n = 0..1100

Formula

Also, x - 1/2 = Sum_{n>=0} |{x^n} - 1/2| / 2^n, where {z} is the fractional part of z.

Example

x = 1.2179364054803528100744074581172662185590261229453\
62815130360843993080221280778102481222183901022114\
02274342126910119357753015766132236449015777369699\
71145304161033755031305673096551171712286197875547\
48823302883527141954945458090962854471161815193024\
62246298903853014685004240626261506449260059710890\
76857314350309486666774044734875208618333937982494\
36401457702599188865310365350038283454621194033888\
51068396350020384282795362650901688529469910528781\
80247522363011638169474275487869500491157022021016\
40175370376589773200215823614275967960954030740900\
09084693322032985498621296412158225311744454307662\
18587821830786207975558749016596758060682955860100\
13281692542057245549665593099837640583860718782376\
75098714951532403004124930808921749440024659008321\
65401825881736204856914863100124554256261104009835\
56903447047264149289420594809680408319231055400107\
99303252951033057183591981903287999009697641393092\
06390285519808405620411103645940830148401808385405\
57712356851967778793950578605983493382464529417909\
62311166426346997304070850177183561881410571667958\
5581829539158840572182422517591104015912086698085294002...

Crossrefs

Sequence in context: A217107 A320432 A141513 * A238223 A102817 A026252

Adjacent sequences: A258055 A258056 A258057 * A258059 A258060 A258061

Keyword

nonn,cons

Author

Paul D. Hanna, May 17 2015

Status

approved