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A309419 Decimal expansion of e/(e-2). 3
3, 7, 8, 4, 4, 2, 2, 3, 8, 2, 3, 5, 4, 6, 6, 5, 6, 2, 8, 7, 5, 3, 1, 0, 5, 7, 5, 6, 9, 5, 9, 6, 3, 3, 0, 5, 6, 7, 4, 7, 9, 5, 6, 7, 7, 0, 6, 3, 0, 5, 7, 4, 2, 4, 7, 1, 8, 2, 6, 4, 9, 1, 3, 4, 1, 6, 6, 5, 5, 9, 1, 4, 0, 9, 2, 3, 2, 2, 1, 8, 5, 3, 3, 8, 3, 4, 2, 1, 1, 7, 4, 5, 3, 5, 2, 2, 5, 9, 9, 7, 7, 7, 7, 1, 3, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjecturally, this can be computed using a recursion formula discovered by an algorithm called "The Ramanujan Machine":

                             1

    e/(e-2)  =  4 - --------------------

                               2

                    5 - ----------------

                                 3

                        6 - ------------

                                   4

                            7 - --------

                                 8 - ...  .

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Gal Raayoni, George Pisha, Yahel Manor, Uri Mendlovic, Doron Haviv, Yaron Hadad, Ido Kaminer, The Ramanujan Machine: Automatically Generated Conjectures on Fundamental Constants, arXiv:1907.00205 [cs.LG], 2019.

The Ramanujan Machine, Using algorithms to discover new mathematics

EXAMPLE

3.78442238235466562875310575695963305674795677063...

MAPLE

nn:= 126: # number of digits

# b:= i-> `if`(i<nn, i+3 -i/b(i+1), 1):

# evalf(b(1), nn);

evalf(exp(1)/(exp(1)-2), nn);

CROSSREFS

Cf. A001113, A309091, A309420.

Sequence in context: A267501 A006834 A016667 * A064540 A303276 A264826

Adjacent sequences:  A309416 A309417 A309418 * A309420 A309421 A309422

KEYWORD

nonn,cons

AUTHOR

Alois P. Heinz, Jul 30 2019

STATUS

approved

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Last modified November 20 10:09 EST 2019. Contains 329334 sequences. (Running on oeis4.)