|
| |
|
|
A157350
|
|
Decimal expansion of (130803+73738*sqrt(2))/281^2.
|
|
3
| |
|
|
2, 9, 7, 7, 2, 2, 0, 1, 4, 2, 3, 7, 7, 4, 6, 8, 4, 0, 4, 7, 6, 3, 6, 0, 3, 8, 4, 4, 2, 4, 9, 3, 7, 2, 6, 8, 9, 2, 7, 1, 5, 4, 5, 0, 0, 0, 0, 1, 9, 5, 7, 1, 6, 4, 9, 5, 4, 7, 2, 7, 0, 3, 0, 4, 5, 8, 0, 2, 4, 3, 8, 1, 0, 1, 9, 5, 3, 9, 8, 3, 4, 6, 4, 0, 8, 3, 5, 1, 9, 2, 0, 6, 4, 7, 5, 5, 5, 5, 5, 6, 4, 1, 8, 1, 6
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 0, b = A129626.
lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 1, b = A157348.
|
|
|
FORMULA
| (130803+73738*sqrt(2))/281^2 = (458+161*sqrt(2))/(458-161*sqrt(2))
= (3+2*sqrt(2))*(17-2*sqrt(2))^2/(17+2*sqrt(2))^2.
|
|
|
EXAMPLE
| (130803+73738*sqrt(2))/281^2 = 2.97722014237746840476...
|
|
|
CROSSREFS
| Cf. A129626, A157348, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A157349 (decimal expansion of (297+68*sqrt(2))/281).
Sequence in context: A202473 A180310 A021340 * A121837 A160439 A137453
Adjacent sequences: A157347 A157348 A157349 * A157351 A157352 A157353
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 12 2009
|
| |
|
|