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A160100
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Decimal expansion of (361299+5950*sqrt(2))/601^2.
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3
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1, 0, 2, 3, 5, 6, 7, 4, 0, 6, 2, 2, 5, 6, 7, 4, 6, 6, 7, 4, 0, 2, 2, 7, 7, 5, 3, 4, 9, 7, 0, 9, 6, 5, 4, 8, 3, 3, 9, 4, 2, 5, 8, 4, 5, 3, 4, 8, 8, 4, 8, 1, 0, 4, 2, 5, 0, 9, 2, 9, 8, 8, 2, 3, 7, 6, 0, 3, 0, 2, 0, 4, 3, 0, 3, 6, 5, 6, 2, 8, 4, 6, 9, 4, 9, 9, 2, 4, 8, 5, 0, 2, 3, 3, 6, 6, 3, 4, 3, 7, 6, 9, 1, 9, 5
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| lim_{n -> infinity} b(n)/b(n-1) = (361299+5950*sqrt(2))/601^2 for n mod 3 = 0, b = A111258.
lim_{n -> infinity} b(n)/b(n-1) = (361299+5950*sqrt(2))/601^2 for n mod 3 = 1, b = A160098.
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FORMULA
| (361299+5950*sqrt(2))/601^2 = (850+7*sqrt(2))/(850-7*sqrt(2))
= (3+2*sqrt(2))*(38-11*sqrt(2))^2/(38+11*sqrt(2))^2.
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EXAMPLE
| (361299+5950*sqrt(2))/601^2 = 1.02356740622567466740...
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CROSSREFS
| Cf. A111258, A160098, A002193 (decimal expansion of sqrt(2)), A160099 (decimal expansion of (843+418*sqrt(2))/601).
Sequence in context: A023834 A084735 A002734 * A113821 A019517 A031976
Adjacent sequences: A160097 A160098 A160099 * A160101 A160102 A160103
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 18 2009
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