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A159550 Decimal expansion of (91443+58282*sqrt(2))/199^2. +0
4
4, 3, 9, 0, 4, 4, 9, 6, 0, 5, 8, 7, 4, 3, 1, 4, 4, 2, 7, 2, 6, 8, 5, 0, 3, 8, 8, 1, 8, 3, 1, 0, 0, 4, 8, 5, 8, 8, 4, 6, 9, 3, 8, 6, 1, 8, 7, 3, 9, 9, 1, 2, 8, 2, 0, 4, 0, 5, 6, 2, 7, 3, 4, 5, 0, 0, 5, 8, 2, 9, 9, 1, 1, 1, 0, 6, 5, 0, 0, 4, 0, 2, 4, 7, 1, 6, 1, 1, 4, 8, 1, 4, 1, 9, 2, 4, 7, 1, 4, 3, 8, 1, 3, 0, 8 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (91443+58282*sqrt(2))/199^2 for n mod 3 = 0, b = A129993.

lim_{n -> infinity} b(n)/b(n-1) = (91443+58282*sqrt(2))/199^2 for n mod 3 = 1, b = A159548.

FORMULA

(91443+58282*sqrt(2))/199^2 = (362+161*sqrt(2))/(362-161*sqrt(2))

= (3+2*sqrt(2))*(20-sqrt(2))^2/(20+sqrt(2))^2.

EXAMPLE

(91443+58282*sqrt(2))/199^2 = 4.39044960587431442726...

CROSSREFS

Cf. A129993, A159548, A002193 (decimal expansion of sqrt(2)), A159549 (decimal expansion of (201+20*sqrt(2))/199).

Sequence in context: A137503 A108624 A108623 this_sequence A155536 A095303 A074123

Adjacent sequences: A159547 A159548 A159549 this_sequence A159551 A159552 A159553

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 14 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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