|
| |
|
|
A157216
|
|
Decimal expansion of (18+5*sqrt(2))/(18-5*sqrt(2)).
|
|
4
| |
|
|
2, 2, 9, 4, 0, 0, 8, 9, 0, 9, 5, 8, 8, 1, 6, 4, 6, 3, 0, 5, 9, 9, 6, 4, 9, 5, 2, 6, 8, 5, 3, 0, 8, 6, 3, 2, 8, 9, 8, 7, 3, 7, 5, 6, 8, 4, 5, 5, 4, 1, 9, 9, 4, 6, 4, 1, 3, 0, 6, 6, 5, 5, 2, 1, 3, 0, 7, 7, 8, 0, 4, 6, 0, 3, 0, 3, 5, 7, 3, 9, 6, 7, 1, 2, 7, 9, 9, 1, 8, 1, 0, 8, 7, 2, 1, 7, 3, 2, 9, 5, 9, 5, 7, 3, 0
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (18+5*sqrt(2))/(18-5*sqrt(2)) for n mod 3 = {1, 2}, b = A129544.
lim_{n -> infinity} b(n)/b(n-1) = (18+5*sqrt(2))/(18-5*sqrt(2)) for n mod 3 = {0, 2}, b = A157213.
|
|
|
EXAMPLE
| (18+5*sqrt(2))/(18-5*sqrt(2)) = 2.29400890958816463059...
|
|
|
MATHEMATICA
| With[{c=5Sqrt[2]}, RealDigits[(18+c)/(18-c), 10, 120][[1]]] (* From Harvey P. Dale, Dec 13 2011 *)
|
|
|
CROSSREFS
| Cf. A129544, A157213, A157214 (decimal expansion of 18+5*sqrt(2)), A157215 (decimal expansion of 18-5*sqrt(2)).
Sequence in context: A113554 A085846 A021440 * A020776 A021002 A103710
Adjacent sequences: A157213 A157214 A157215 * A157217 A157218 A157219
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 25 2009
|
| |
|
|
