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A160092
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Decimal expansion of (617139+371510*sqrt(2))/569^2.
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3
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3, 5, 2, 8, 9, 4, 1, 0, 4, 1, 5, 6, 2, 2, 2, 8, 1, 2, 9, 9, 4, 8, 6, 8, 2, 4, 4, 7, 6, 4, 2, 3, 8, 1, 0, 5, 6, 3, 0, 2, 0, 8, 3, 3, 2, 2, 0, 2, 2, 3, 8, 6, 8, 1, 8, 2, 5, 7, 5, 0, 5, 6, 5, 8, 3, 7, 4, 3, 4, 7, 1, 9, 7, 6, 9, 6, 6, 2, 6, 1, 7, 1, 7, 8, 5, 0, 7, 4, 4, 0, 0, 1, 8, 4, 2, 7, 8, 2, 8, 1, 4, 6, 9, 3, 0
(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) = (617139+371510*sqrt(2))/569^2 for n mod 3 = 0, b = A101152.
lim_{n -> infinity} b(n)/b(n-1) = (617139+371510*sqrt(2))/569^2 for n mod 3 = 1, b = A160090.
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FORMULA
| (617139+371510*sqrt(2))/569^2 = (1940+766*sqrt(2))/(1940-766*sqrt(2))
= (3+2*sqrt(2))*(34-3*sqrt(2))^2/(34+3*sqrt(2))^2.
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EXAMPLE
| (617139+371510*sqrt(2))/569^2 = 3.52894104156222812994...
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CROSSREFS
| Cf. A101152, A160090, A002193 (decimal expansion of sqrt(2)), A160091 (decimal expansion of (587+102*sqrt(2))/569).
Sequence in context: A180077 A095749 A137988 * A026193 A026143 A075626
Adjacent sequences: A160089 A160090 A160091 * A160093 A160094 A160095
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 04 2009
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