|
| |
|
|
A157300
|
|
Decimal expansion of (1683+58*sqrt(2))/41^2.
|
|
1
| |
|
|
1, 0, 4, 9, 9, 8, 4, 7, 6, 3, 0, 0, 8, 7, 0, 8, 8, 1, 1, 9, 1, 5, 8, 2, 2, 6, 9, 2, 4, 4, 7, 4, 4, 9, 4, 2, 8, 0, 5, 2, 9, 6, 9, 0, 4, 7, 4, 5, 5, 0, 0, 4, 7, 5, 2, 0, 7, 8, 6, 7, 1, 8, 7, 6, 7, 4, 2, 0, 9, 5, 4, 6, 9, 2, 1, 5, 2, 3, 0, 3, 4, 3, 9, 9, 3, 6, 4, 8, 1, 1, 2, 4, 2, 7, 7, 2, 3, 5, 0, 4, 5, 9, 1, 6, 8
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (1683+58*sqrt(2))/41^2 for n mod 3 = 0, b = A129288.
lim_{n -> infinity} b(n)/b(n-1) = (1683+58*sqrt(2))/41^2 for n mod 3 = 1, b = A157257.
|
|
|
FORMULA
| (1683+58*sqrt(2))/41^2 = (58+sqrt(2))/(58-sqrt(2))
= (3+2*sqrt(2))*(7-2*sqrt(2))^2/(7+2*sqrt(2))^2.
|
|
|
EXAMPLE
| (1683+58*sqrt(2))/41^2 = 1.04998476300870881191...
|
|
|
CROSSREFS
| Cf. A129288, A157257, A002193 (decimal expansion of sqrt(2)), A157260 (decimal expansion of ((57+28*sqrt(2))/41).
Sequence in context: A203140 A011512 A200642 * A100555 A186887 A140978
Adjacent sequences: A157297 A157298 A157299 * A157301 A157302 A157303
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 01 2009
|
| |
|
|
