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A159692 Decimal expansion of (2052963+1343918*sqrt(2))/881^2. +0
4
5, 0, 9, 3, 7, 2, 4, 1, 9, 1, 6, 5, 2, 6, 6, 6, 3, 3, 0, 5, 6, 2, 1, 7, 4, 4, 8, 0, 3, 7, 5, 1, 3, 9, 9, 8, 0, 4, 3, 6, 0, 1, 3, 0, 0, 1, 7, 0, 0, 4, 6, 8, 4, 6, 0, 2, 9, 0, 3, 9, 9, 9, 0, 4, 2, 9, 9, 5, 3, 2, 1, 9, 8, 8, 4, 7, 7, 1, 0, 6, 7, 7, 8, 5, 9, 0, 2, 0, 3, 7, 6, 3, 8, 9, 0, 9, 3, 7, 6, 6, 8, 1, 7, 5, 7 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 0, b = A130014.

lim_{n -> infinity} b(n)/b(n-1) = (2052963+1343918*sqrt(2))/881^2 for n mod 3 = 1, b = A159690.

FORMULA

(2052963+1343918*sqrt(2))/881^2 = (1682+799*sqrt(2))/(1682-799*sqrt(2))

= (3+2*sqrt(2))*(42-sqrt(2))^2/(42+sqrt(2))^2.

EXAMPLE

(2052963+1343918*sqrt(2))/881^2 = 5.09372419165266633056...

CROSSREFS

Cf. A130014, A159690, A002193 (decimal expansion of sqrt(2)), A159691 (decimal expansion of (883+42*sqrt(2))/881).

Sequence in context: A141431 A166011 A132706 this_sequence A019925 A101115 A010481

Adjacent sequences: A159689 A159690 A159691 this_sequence A159693 A159694 A159695

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 21 2009

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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