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A159703 Decimal expansion of (2487411+1629850*sqrt(2))/967^2. +0
4
5, 1, 2, 5, 0, 3, 8, 3, 3, 8, 2, 0, 5, 0, 1, 4, 6, 7, 2, 7, 0, 9, 6, 9, 1, 1, 2, 7, 9, 6, 0, 2, 0, 1, 0, 2, 1, 8, 8, 8, 5, 8, 9, 9, 6, 9, 5, 9, 9, 8, 1, 2, 2, 2, 8, 6, 4, 0, 2, 8, 0, 7, 3, 3, 6, 6, 7, 2, 7, 1, 5, 9, 6, 6, 3, 0, 3, 3, 6, 9, 5, 9, 6, 5, 8, 7, 1, 0, 6, 9, 2, 5, 9, 0, 6, 5, 8, 8, 7, 5, 5, 9, 5, 9, 7 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (2487411+1629850*sqrt(2))/967^2 for n mod 3 = 0, b = A130017.

lim_{n -> infinity} b(n)/b(n-1) = (2487411+1629850*sqrt(2))/967^2 for n mod 3 = 1, b = A159701.

FORMULA

(2487411+1629850*sqrt(2))/967^2 = (1850+881*sqrt(2))/(1850-881*sqrt(2))

= (3+2*sqrt(2))*(44-sqrt(2))^2/(44+sqrt(2))^2.

EXAMPLE

(2487411+1629850*sqrt(2))/967^2 = 5.12503833820501467270...

CROSSREFS

Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159702 (decimal expansion of (969+44*sqrt(2))/967).

Sequence in context: A085758 A154529 A157823 this_sequence A059521 A011509 A144738

Adjacent sequences: A159700 A159701 A159702 this_sequence A159704 A159705 A159706

KEYWORD

cons,nonn

AUTHOR

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

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.


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