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A159846
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Decimal expansion of (293619+186550*sqrt(2))/359^2.
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3
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4, 3, 2, 5, 2, 3, 4, 4, 4, 1, 5, 4, 4, 5, 3, 2, 4, 0, 8, 6, 0, 9, 1, 4, 3, 5, 6, 2, 6, 7, 6, 5, 7, 1, 2, 2, 8, 9, 4, 1, 2, 1, 1, 5, 6, 9, 9, 8, 7, 5, 8, 2, 8, 3, 2, 6, 2, 1, 6, 4, 0, 1, 5, 7, 3, 7, 1, 3, 0, 4, 8, 7, 7, 0, 3, 4, 6, 7, 5, 9, 2, 6, 6, 1, 0, 9, 0, 3, 0, 3, 8, 6, 8, 5, 4, 6, 5, 9, 3, 6, 7, 4, 5, 6, 5
(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) = (293619+186550*sqrt(2))/359^2 for n mod 3 = 0, b = A130610.
lim_{n -> infinity} b(n)/b(n-1) = (293619+186550*sqrt(2))/359^2 for n mod 3 = 1, b = A159844.
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FORMULA
| (293619+186550*sqrt(2))/359^2 = (650+287*sqrt(2))/(650-287*sqrt(2))
= (3+2*sqrt(2))*(19-sqrt(2))^2/(19+sqrt(2))^2.
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EXAMPLE
| (293619+186550*sqrt(2))/359^2 = 4.32523444154453240860...
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MATHEMATICA
| RealDigits[(293619+186550Sqrt[2])/359^2, 10, 120][[1]] (* From Harvey P. Dale, June 14 2011 *)
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CROSSREFS
| Cf. A130610, A159844, A002193 (decimal expansion of sqrt(2)), A159845 (decimal expansion of (363+38*sqrt(2))/359).
Sequence in context: A184338 A184412 A110631 * A071890 A167837 A021702
Adjacent sequences: A159843 A159844 A159845 * A159847 A159848 A159849
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 30 2009
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