This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A275975 Decimal expansion of Sum_{k>=0}((-1)^k/2^(2^k)). 1
 3, 0, 8, 6, 0, 9, 0, 0, 8, 5, 5, 6, 2, 3, 1, 8, 5, 6, 4, 0, 0, 3, 4, 0, 4, 7, 9, 7, 1, 8, 0, 2, 5, 2, 2, 1, 6, 9, 7, 4, 3, 3, 9, 0, 4, 1, 6, 6, 4, 4, 1, 3, 6, 6, 8, 0, 1, 3, 6, 7, 2, 2, 1, 1, 5, 6, 9, 4, 4, 3, 8, 5, 8, 0, 5, 4, 6, 1, 9, 7, 2, 2, 7, 6, 6, 2, 4, 8, 7, 5, 6, 4, 0, 8, 5, 3, 5, 0, 7, 0, 8, 6, 1, 6, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Except for the alternating signs, this constant is defined in a similar way to the Kempner-Mahler number A007404. It is related to the Jeffreys binary sequence A275973 somewhat like Kempner-Mahler number is related to the Fredholm-Rueppel sequence A036987. Conjecture: Numbers of the type Sum_{k>=0}(x^(2^k)) with algebraic x and |x|<1 are known to be transcendental (Mahler 1930, Adamczewski 2013). It is likely that the alternating sign does not invalidate this property. LINKS B. Adamczewski, The Many Faces of the Kempner Number, arXiv:1303.1685 [math.NT], 2013. K. Mahler, Arithmetische Eigenschaften einer Klasse transzendental-transzendente Funktionen, Math. Z. 32 (1930), 545-585. EXAMPLE 0.308609008556231856400340479718025221697433904166441366801367221... PROG (PARI) default(realprecision, 2100); suminf(k=0, (-1)^k*0.5^2^k) CROSSREFS Cf. A007404, A036987, A275973. Sequence in context: A223854 A248424 A292525 * A201665 A137204 A021328 Adjacent sequences:  A275972 A275973 A275974 * A275976 A275977 A275978 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Aug 15 2016 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 20 12:41 EDT 2018. Contains 313917 sequences. (Running on oeis4.)