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

Author

Jonathan Vos Post, Mar 21 2006

Keywords

• base
• cons
• nonn

Examples

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

References

• Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.3.
• Eli Maor, e: The Story of a Number, Princeton Univ. Press, 1994.

Links

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

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).

Programs

Mathematica

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