|
| |
|
|
A108088
|
|
Decimal expansion of 1/(1+1/(1+2/(1+3/(1+4/(1+5/(1+...)))))).
|
|
2
| |
|
|
6, 5, 5, 6, 7, 9, 5, 4, 2, 4, 1, 8, 7, 9, 8, 4, 7, 1, 5, 4, 3, 8, 7, 1, 2, 3, 0, 7, 3, 0, 8, 1, 1, 2, 8, 3, 3, 9, 9, 2, 8, 2, 3, 3, 2, 8, 7, 0, 4, 6, 2, 0, 2, 8, 0, 5, 3, 6, 8, 6, 1, 5, 8, 7, 3, 4, 1, 9, 7, 1, 6, 5, 7, 6, 6, 3, 1, 0, 5, 8, 9, 0, 6, 5, 8, 5, 0, 9, 5
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| Term of Ramanujan's formula (see A059444 and A060196).
|
|
|
REFERENCES
| S. R. Finch, "Mathematical Constants", Cambridge, pp. 423-428.
|
|
|
FORMULA
| Equals sqrt(pi*e/2)*erfc(1/sqrt(2)), where erfc is the complementary error function. - Daniel Forgues (kephalopod(AT)gmail.com), Apr 14 2011
|
|
|
EXAMPLE
| 0.6556795424187984715438712307308112833992823328704...
|
|
|
MATHEMATICA
| RealDigits[Sqrt[Pi*E/2]*Erfc[1/Sqrt[2]], 10, 111][[1]]
|
|
|
CROSSREFS
| Cf. A111129.
Sequence in context: A199791 A199600 A021608 * A137727 A010497 A167918
Adjacent sequences: A108085 A108086 A108087 * A108089 A108090 A108091
|
|
|
KEYWORD
| nonn,cons
|
|
|
AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jun 21 2005
|
| |
|
|
