A243020 -id:A243020 - cp's OEIS frontend

A243369 Denominators of Egyptian fraction expansion of e, without repetition.

1, 2, 3, 4, 5, 6, 7, 8, 2355, 17497263, 1860801514823609, 3584505381349378370871887741627, 85751894581999497691951513557530024967086681471033652102477414

Offset: 1

Arlu Genesis A. Padilla, Jun 04 2014

nonn

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

			e = 1 + 1/2 + 1/3 + ... + 1/8 + 1/2355 + ...

Arlu Genesis A. Padilla, Table of n, a(n) for n = 1..17

Cf. A073422.

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

cp's OEIS Frontend

A243369 Denominators of Egyptian fraction expansion of e, without repetition.

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