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%I #15 Jan 16 2022 11:07:53
%S 1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,
%T 1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,
%U 1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0
%N Expansion of e^2 in base 2.
%D S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.3.
%D E. Maor, e: The Story of a Number, Princeton Univ. Press, 1994.
%H John Cosgrave, <a href="https://www.johnbcosgrave.com/archive/esquared.htm">links to "New Proofs of the Irrationality of e^2 and e^4."</a>
%e 111.010001000000 (base 2) ~ 7.389056098930650... (base 10) ~ e^2. 100 decimal places precision here.
%t RealDigits[E^2, 2, 100] (* _Stefan Steinerberger_, Mar 30 2006 *)
%Y Cf. A001113 (e), A072334 (e^2), A090142 (e^2-e).
%Y Cf. A090143 (e^3-2e^2+e/2), A089139 (e^4-3e^3+2e^2-e/6), A090143 (e^3-2e^2+e/2).
%Y Cf. A001671 (powers of e rounded up), A107586 (powers of e^(1/e) rounded up).
%K base,cons,nonn
%O 1,1
%A _Jonathan Vos Post_, Mar 21 2006
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