The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A243369 Denominators of Egyptian fraction expansion of e, without repetition. 1
 1, 2, 3, 4, 5, 6, 7, 8, 2355, 17497263, 1860801514823609, 3584505381349378370871887741627, 85751894581999497691951513557530024967086681471033652102477414 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Slightly different version of A073422, disregarding the repetition of values. Similar process to A243020 (Denominators of Egyptian fraction expansion of Pi, without repetition). The integer terms a(1), a(2), ... approximate Euler's constant A001113 = 1/a(1) + 1/a(2) + 1/a(3)+... by a(1)=1 and then selecting a(n) as the smallest positive number not yet in {a(1),...,a(n-1)} such that the remainder A001113 -1/a(1) -1/a(2) ... -1/a(n) remains positive. - R. J. Mathar, Jul 03 2017 LINKS Arlu Genesis A. Padilla, Table of n, a(n) for n = 1..17 EXAMPLE e = 1 + 1/2 + 1/3 + ... + 1/8 + 1/2355 + ... MAPLE Digits := 1000: a243369set := {1} ; for loop from 1 to 13 do     erest := evalf(exp(1))-add(1/p, p=a243369set) ;     eivn := ceil(1/erest) ;     while eivn in a243369set do         eivn := eivn+1 ;     end do:     a243369set := a243369set union {eivn} ;     print(eivn) ; end do: # R. J. Mathar, Jul 03 2017 CROSSREFS Cf. A073422. Sequence in context: A004892 A004903 A004914 * A228052 A308072 A084689 Adjacent sequences:  A243366 A243367 A243368 * A243370 A243371 A243372 KEYWORD nonn AUTHOR Arlu Genesis A. Padilla, Jun 04 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 10 16:24 EDT 2022. Contains 356039 sequences. (Running on oeis4.)