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A159567
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Decimal expansion of (137283+87958*sqrt(2))/241^2.
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3
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4, 5, 0, 5, 3, 3, 5, 5, 9, 2, 0, 0, 4, 4, 8, 8, 4, 6, 0, 9, 8, 5, 5, 0, 1, 9, 1, 6, 3, 5, 8, 8, 1, 9, 9, 8, 5, 7, 9, 2, 7, 9, 2, 8, 0, 3, 4, 0, 2, 2, 4, 1, 6, 7, 3, 1, 8, 8, 7, 2, 6, 0, 2, 7, 3, 4, 4, 3, 7, 8, 4, 9, 4, 5, 2, 6, 0, 9, 3, 0, 5, 8, 3, 7, 0, 2, 4, 8, 2, 1, 7, 9, 0, 9, 3, 1, 1, 0, 9, 0, 6, 2, 5, 6, 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) = (137283+87958*sqrt(2))/241^2 for n mod 3 = 0, b = A129991.
lim_{n -> infinity} b(n)/b(n-1) = (137283+87958*sqrt(2))/241^2 for n mod 3 = 1, b = A159565.
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FORMULA
| (137283+87958*sqrt(2))/241^2 = (442+199*sqrt(2))/(442-199*sqrt(2))
= (3+2*sqrt(2))*(22-sqrt(2))^2/(22+sqrt(2))^2.
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EXAMPLE
| (137283+87958*sqrt(2))/241^2 = 4.50533559200448846098...
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CROSSREFS
| Cf. A129991, A159565, A002193 (decimal expansion of sqrt(2)), A159566 (decimal expansion of (243+22*sqrt(2))/241).
Sequence in context: A011286 A186930 A187045 * A164357 A092487 A192041
Adjacent sequences: A159564 A159565 A159566 * A159568 A159569 A159570
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KEYWORD
| cons,nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 16 2009
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