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%I #22 Jan 09 2024 08:48:01
%S 2,7,1,8,2,6,6,2,5,3,8,6,9,9,6,9,0,4,0,2,4,7,6,7,8,0,1,8,5,7,5,8,5,1,
%T 3,9,3,1,8,8,8,5,4,4,8,9,1,6,4,0,8,6,6,8,7,3,0,6,5,0,1,5,4,7,9,8,7,6,
%U 1,6,0,9,9,0,7,1,2,0,7,4,3,0,3,4,0,5,5,7
%N Decimal expansion of 878/323.
%C Using the criterion of the minimum absolute difference, it is the closest rational approximation of e (cf. A001113) using integers below 1000 (see Maor).
%C The numerator and the denominator of 878/323 are palindromes in base 10 (cf. A002113).
%C It has period 144.
%D Eli Maor, e: The Story of a Number. Princeton, New Jersey: Princeton University Press (1994), p. 37.
%H Philip R. Brown, <a href="https://doi.org/10.1080/0020739X.2017.1352043">Approximations of e and Pi: an exploration</a>, International Journal of Mathematical Education in Science and Technology, 48:sup1, S30-S39, 2017. See p. S32.
%H <a href="/index/Ea">Index entries for sequences related to the number e</a>
%H <a href="/index/Rec#order_143">Index entries for linear recurrences with constant coefficients</a>, order 143.
%F Equals A368618(3)/A368619(3) = A368620(3)/A368621(3).
%e 2.7182662538699690402476780...
%t Flatten[First[RealDigits[878/323,10]]]
%Y Cf. A001113, A002113, A007676, A007677, A368653, A368654, A368656.
%Y Cf. A368618, A368619, A368620, A368621.
%K nonn,cons,easy
%O 1,1
%A _Stefano Spezia_, Jan 01 2024
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