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A116938 Expansion of e^2 in base 2. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

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

E. Maor, e: The Story of a Number, Princton Univ. Press, 1994.

LINKS

Table of n, a(n) for n=1..105.

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

FORMULA

e^2 (base 2).

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 (Decimal expansion of e),

A072334 (Decimal expansion of e^2),

A090142 (Decimal expansion of e^2-e),

A090143 (Decimal expansion of e^3-2e^2+e/2),

A089139 (Decimal expansion of e^4-3e^3+2e^2-e/6),

A090143 (Decimal expansion of e^3-2e^2+e/2),

A001671 (Powers of e rounded up),

A107586 (Powers of e^(1/e) rounded up).

Sequence in context: A165556 A127243 A127248 * A105589 A097806 A167374

Adjacent sequences:  A116935 A116936 A116937 * A116939 A116940 A116941

KEYWORD

base,cons,nonn

AUTHOR

Jonathan Vos Post, Mar 21 2006

STATUS

approved

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Last modified August 29 04:44 EDT 2016. Contains 275939 sequences.