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A157471
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Decimal expansion of (19491+12070*sqrt(2))/97^2.
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3
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3, 8, 8, 5, 7, 0, 0, 6, 7, 9, 9, 7, 0, 5, 8, 7, 4, 4, 1, 7, 0, 8, 6, 1, 7, 5, 8, 9, 6, 7, 0, 6, 4, 0, 4, 3, 0, 2, 6, 2, 0, 8, 3, 0, 6, 2, 5, 7, 8, 3, 5, 7, 2, 3, 7, 0, 3, 2, 8, 9, 6, 6, 3, 4, 8, 7, 5, 9, 8, 4, 8, 0, 3, 3, 8, 3, 7, 4, 2, 3, 6, 9, 9, 5, 6, 8, 6, 8, 6, 9, 3, 7, 3, 3, 0, 8, 8, 9, 3, 4, 3, 0, 8, 8, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (19491+12070*sqrt(2))/97^2 for n mod 3 = 0, b = A129836.
lim_{n -> infinity} b(n)/b(n-1) = (19491+12070*sqrt(2))/97^2 for n mod 3 = 1, b = A157469.
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FORMULA
| (19491+12070*sqrt(2))/97^2 = (170+71*sqrt(2))/(170-71*sqrt(2))
= (3+2*sqrt(2))*(14-sqrt(2))^2/(14+sqrt(2))^2.
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EXAMPLE
| (19491+12070*sqrt(2))/97^2 = 3.88570067997058744170...
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CROSSREFS
| Cf. A129836, A157469, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A157470 (decimal expansion of (99+14*sqrt(2))/97).
Sequence in context: A102639 A118817 A179553 * A131596 A140975 A065481
Adjacent sequences: A157468 A157469 A157470 * A157472 A157473 A157474
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 12 2009
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