A116938 Expansion of e^2 in base 2.

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, 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, 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

Offset

3,1

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.3.

Eli Maor, e: The Story of a Number, Princeton Univ. Press, 1994.

Links

Table of n, a(n) for n=3..107.

John Cosgrave, links to "New Proofs of the Irrationality of e^2 and e^4."

Example

111.010001000000 (base 2) ~ 7.389056098930650... (base 10) ~ e^2. 100 decimal places precision here.

Mathematica

RealDigits[E^2, 2, 100] (* Stefan Steinerberger, Mar 30 2006 *)

Crossrefs

Cf. A001113 (e), A072334 (e^2), A090142 (e^2-e).

Cf. A090143 (e^3-2e^2+e/2), A089139 (e^4-3e^3+2e^2-e/6), A090143 (e^3-2e^2+e/2).

Cf. A001671 (powers of e rounded up), A107586 (powers of e^(1/e) rounded up).

Sequence in context: A127248 A266298 A265695 * A105589 A359578 A097806

Adjacent sequences: A116935 A116936 A116937 * A116939 A116940 A116941

Keyword

base,cons,nonn

Author

Jonathan Vos Post, Mar 21 2006

Status

approved