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%I #13 May 22 2023 02:35:35
%S 7,4,3,9,0,8,7,7,4,9,3,2,8,7,6,5,8,2,9,9,7,3,5,2,9,5,0,1,6,9,6,9,3,2,
%T 5,5,4,4,3,9,9,6,5,8,6,6,1,3,1,1,6,6,7,2,0,1,4,0,3,4,6,0,1,0,9,9,9,5,
%U 7,2,5,4,7,4,4,1,4,7,1,7,5,2,2,9,7,9,6,1,9,1,1,2,0,4,8,2,1,3,7,1,1,6,8,0,0
%N Decimal expansion of (e/3)^3.
%C The coefficient a of the unique cubic function y=a*x^3 which kisses the exponential function y=exp(x). In general, a function y = c*x^n kisses the exponential at some x > 0 iff the coefficient c equals (e/n)^n. The kissing point is (n, e^n).
%H Stanislav Sykora, <a href="/A257776/b257776.txt">Table of n, a(n) for n = 0..2000</a>
%e 0.743908774932876582997352950169693255443996586613116672014034601...
%t RealDigits[(E/3)^3, 10, 120][[1]] (* _Amiram Eldar_, May 22 2023 *)
%o (PARI) (exp(3)/3)^3
%Y Cf. A001113, A019740; A257775 (n=2), A257777 (n=1).
%K nonn,cons,easy
%O 0,1
%A _Stanislav Sykora_, May 12 2015
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