|
Search: id:A059444
|
|
|
| A059444 |
|
Decimal expansion of square root of (Pi * e / 2). |
|
+0
3
|
|
| 2, 0, 6, 6, 3, 6, 5, 6, 7, 7, 0, 6, 1, 2, 4, 6, 4, 6, 9, 2, 3, 4, 6, 9, 5, 9, 4, 2, 1, 4, 9, 9, 2, 6, 3, 2, 4, 7, 2, 2, 7, 6, 0, 9, 5, 8, 4, 9, 5, 6, 5, 4, 2, 2, 5, 7, 7, 8, 3, 2, 5, 6, 2, 6, 8, 9, 8, 9, 7, 8, 9, 6, 4, 2, 5, 6, 7, 0, 8, 5, 1, 6, 1, 8, 1, 2, 6, 0, 1, 8, 1, 2, 2, 7, 7, 3, 3, 1, 4, 1
(list; cons; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Appears as constant factor in Proposition 1.12, p. 5, of Feige et al. (2007). - Jonathan Vos Post (jvospost2(AT)yahoo.com), Jun 18 2007
|
|
REFERENCES
|
C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Oxford University Press, Oxford and NY, 2001, page 68.
|
|
LINKS
|
C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review
Uri Feige, Guy Kindler, Ryan O Donnell, Understanding Parallel Repetition Requires Understanding Foams, Electronic Colloquium on Computational Complexity, Report TR07-043 (ISSN 1433-8092, 14th Year, 43rd Report), 7 May 2007.
|
|
FORMULA
|
Sqrt(Pi*e/2) = A + B with A = 1 + 1/(1*3) + 1/(1*3*5) + 1/(1*3*5*7) + 1/(1*3*5*7*9) + . . . = 1.410686134. . . (see A060196) and B = 1/(1 + 1/(1 + 2/(1 + 3/(1 + 4/(1 + 5/(1 + ...)))))) = 0.65567954241. . .- (S. Ramanujan)
|
|
EXAMPLE
|
2.066365677...
|
|
MATHEMATICA
|
RealDigits[N[Sqrt[ \[Pi]*\[ExponentialE]/2], 100]][[1]]
|
|
CROSSREFS
|
Cf. A059445.
Sequence in context: A021488 A053206 A106848 this_sequence A057720 A087996 A086777
Adjacent sequences: A059441 A059442 A059443 this_sequence A059445 A059446 A059447
|
|
KEYWORD
|
nonn,cons
|
|
AUTHOR
|
Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 01 2001
|
|
|
Search completed in 0.002 seconds
|
