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A135004 Decimal expansion of 4/e. 2

%I #34 Dec 29 2023 19:29:09

%S 1,4,7,1,5,1,7,7,6,4,6,8,5,7,6,9,2,8,6,3,8,2,0,9,5,0,8,0,6,4,5,8,4,3,

%T 4,6,9,7,8,3,2,4,4,5,2,4,1,2,7,0,7,1,3,3,8,0,3,1,3,4,7,2,0,6,7,8,9,8,

%U 4,5,9,8,2,9,7,9,5,9,9,2,1,3,4,2,8,5,8,9,0,9,7,3,8,3,6,7,8,5,7,4,9,8,6,5,0,9,3,0,1,1,0,7,3,7,5,9,8,0,8,3

%N Decimal expansion of 4/e.

%C Leading coefficient of energy difference between the two lowest states of the hydrogen molecular ion (see Holstein-Herring Method link). - _Andrea Pinos_, Nov 22 2023

%H G. C. Greubel, <a href="/A135004/b135004.txt">Table of n, a(n) for n = 1..2000</a>

%H Shawn Godin, <a href="https://cms.math.ca/publications/crux/issue?volume=38&amp;issue=7">Problem CC35</a>, Crux Mathematicorum, Vol. 38, No. 7 (2012), p. 265; <a href="https://cms.math.ca/publications/crux/issue?volume=39&amp;issue=7">Solution to Problem CC35</a>, ibid., Vol. 39, No. 7 (2013), p. 299.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Holstein-Herring_method">Holstein-Herring Method</a>.

%F Equals lim_{n->oo} (((2*n)!/n!)^(1/n))/n (Godin, 2012). - _Amiram Eldar_, Apr 02 2022

%e 1.471517764685769...

%p Digits:=100: evalf(4/exp(1)); # _Wesley Ivan Hurt_, Jan 19 2017

%t RealDigits[4/E,10,120][[1]] (* _Harvey P. Dale_, Mar 06 2012 *)

%o (PARI) 4/exp(1) \\ _Michel Marcus_, Jan 20 2017

%Y Cf. A019741 (e/4), A068985 (1/e), A135002 (2/e).

%K cons,nonn

%O 1,2

%A _Omar E. Pol_, Nov 15 2007

%E More terms from _Harvey P. Dale_, Mar 06 2012

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)