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A160214
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Decimal expansion of (1947891+1218490*sqrt(2))/953^2.
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3
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4, 0, 4, 2, 1, 2, 6, 9, 5, 9, 3, 4, 0, 8, 4, 8, 4, 0, 1, 6, 5, 0, 2, 4, 7, 5, 6, 8, 0, 8, 4, 3, 0, 1, 0, 9, 3, 4, 2, 2, 7, 2, 4, 8, 1, 7, 1, 1, 5, 9, 4, 7, 3, 8, 4, 0, 1, 0, 7, 8, 6, 6, 0, 7, 4, 2, 6, 6, 2, 4, 9, 4, 8, 3, 1, 1, 7, 7, 9, 3, 4, 3, 4, 8, 6, 8, 0, 6, 1, 2, 7, 9, 9, 7, 9, 4, 7, 5, 8, 6, 9, 1, 2, 1, 3
(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) = (1947891+1218490*sqrt(2))/953^2 for n mod 3 = 0, b = A129975.
lim_{n -> infinity} b(n)/b(n-1) = (1947891+1218490*sqrt(2))/953^2 for n mod 3 = 1, b = A160212.
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FORMULA
| (1947891+1218490*sqrt(2))/953^2 = (1690+721*sqrt(2))/(1690-721*sqrt(2))
= (3+2*sqrt(2))*(31-2*sqrt(2))^2/(31+2*sqrt(2))^2.
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EXAMPLE
| (1947891+1218490*sqrt(2))/953^2 = 4.04212695934084840165...
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CROSSREFS
| Cf. A129975, A160212, A002193 (decimal expansion of sqrt(2)), A160213 (decimal expansion of (969+124*sqrt(2))/953).
Sequence in context: A010636 A204695 A175435 * A081087 A135031 A016680
Adjacent sequences: A160211 A160212 A160213 * A160215 A160216 A160217
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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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