|
| |
|
|
A160043
|
|
Decimal expansion of (5907+1802*sqrt(2))/73^2.
|
|
3
| |
|
|
1, 5, 8, 6, 6, 7, 9, 0, 8, 4, 1, 4, 2, 6, 7, 5, 4, 1, 3, 3, 8, 7, 2, 4, 7, 7, 1, 6, 4, 6, 1, 9, 7, 7, 0, 9, 4, 6, 8, 6, 1, 6, 0, 3, 9, 0, 2, 1, 0, 0, 3, 1, 9, 8, 1, 2, 0, 9, 3, 0, 3, 2, 2, 5, 3, 4, 4, 2, 1, 0, 9, 0, 7, 5, 2, 2, 7, 4, 6, 6, 4, 7, 4, 0, 2, 5, 8, 9, 2, 9, 1, 9, 6, 0, 6, 6, 9, 9, 4, 0, 7, 1, 4, 6, 7
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (5907+1802*sqrt(2))/73^2 for n mod 3 = 0, b = A129289.
lim_{n -> infinity} b(n)/b(n-1) = (5907+1802*sqrt(2))/73^2 for n mod 3 = 1, b = A160041.
|
|
|
FORMULA
| (5907+1802*sqrt(2))/73^2 = (106+17*sqrt(2))/(106-17*sqrt(2))
= (3+2*sqrt(2))*(9-2*sqrt(2))^2/(9+2*sqrt(2))^2.
|
|
|
EXAMPLE
| (5907+1802*sqrt(2))/73^2 = 1.58667908414267541338...
|
|
|
CROSSREFS
| Cf. A129289, A160041, A002193 (decimal expansion of sqrt(2)), A160042 (decimal expansion of (89+36*sqrt(2))/73).
Sequence in context: A102519 A199265 A085117 * A145432 A070371 A199444
Adjacent sequences: A160040 A160041 A160042 * A160044 A160045 A160046
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 04 2009
|
| |
|
|
