|
| |
|
|
A159576
|
|
Decimal expansion of (278307+179662*sqrt(2))/337^2.
|
|
3
| |
|
|
4, 6, 8, 7, 7, 8, 8, 3, 6, 6, 9, 2, 2, 9, 7, 1, 9, 6, 1, 1, 6, 7, 2, 9, 9, 1, 7, 1, 1, 5, 5, 5, 3, 3, 4, 3, 0, 7, 0, 7, 1, 8, 5, 8, 3, 8, 3, 3, 5, 9, 3, 0, 0, 9, 2, 9, 2, 2, 0, 8, 8, 2, 0, 2, 6, 5, 1, 1, 7, 2, 2, 2, 6, 0, 9, 5, 6, 6, 9, 3, 7, 1, 1, 6, 5, 8, 8, 4, 3, 9, 7, 9, 6, 3, 9, 9, 3, 1, 6, 9, 2, 6, 9, 0, 6
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (278307+179662*sqrt(2))/337^2 for n mod 3 = 0, b = A129999.
lim_{n -> infinity} b(n)/b(n-1) = (278307+179662*sqrt(2))/337^2 for n mod 3 = 1, b = A159574.
|
|
|
FORMULA
| (278307+179662*sqrt(2))/337^2 = (626+287*sqrt(2))/(626-287*sqrt(2))
= (3+2*sqrt(2))*(26-sqrt(2))^2/(26+sqrt(2))^2.
|
|
|
EXAMPLE
| (278307+179662*sqrt(2))/337^2 = 4.68778836692297196116...
|
|
|
CROSSREFS
| Cf. A129999, A159574, A002193 (decimal expansion of sqrt(2)), A159575 (decimal expansion of (339+26*sqrt(2))/337).
Sequence in context: A201336 A188930 A141219 * A199626 A163639 A196355
Adjacent sequences: A159573 A159574 A159575 * A159577 A159578 A159579
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 16 2009
|
| |
|
|