|
| |
|
|
A159760
|
|
Decimal expansion of (10659+6110*sqrt(2))/79^2.
|
|
3
| |
|
|
3, 0, 9, 2, 4, 2, 8, 2, 7, 5, 2, 9, 2, 3, 5, 8, 7, 1, 6, 2, 5, 9, 9, 4, 5, 2, 1, 7, 9, 0, 1, 1, 7, 8, 5, 3, 8, 7, 0, 5, 4, 4, 7, 0, 6, 9, 1, 4, 8, 0, 7, 7, 6, 6, 8, 1, 7, 9, 7, 0, 0, 8, 8, 1, 1, 2, 8, 5, 6, 5, 2, 0, 4, 8, 3, 9, 5, 2, 4, 7, 5, 6, 8, 2, 9, 9, 7, 4, 0, 1, 6, 1, 4, 1, 9, 4, 6, 8, 0, 4, 9, 0, 4, 8, 1
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (10659+6110*sqrt(2))/79^2 for n mod 3 = 0, b = A118676.
lim_{n -> infinity} b(n)/b(n-1) = (10659+6110*sqrt(2))/79^2 for n mod 3 = 1, b = A159758.
|
|
|
FORMULA
| (10659+6110*sqrt(2))/79^2 = (130+47*sqrt(2))/(130-47*sqrt(2))
= 3+2*sqrt(2))*(9-sqrt(2))^2/(9+sqrt(2))^2.
|
|
|
EXAMPLE
| (10659+6110*sqrt(2))/79^2 = 3.09242827529235871625...
|
|
|
CROSSREFS
| Cf. A118676, A159758, A002193 (decimal expansion of sqrt(2)), A159759 (decimal expansion of (83+18*sqrt(2))/79).
Sequence in context: A196622 A196827 A191661 * A021101 A154202 A002346
Adjacent sequences: A159757 A159758 A159759 * A159761 A159762 A159763
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 30 2009
|
| |
|
|