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A159576 Decimal expansion of (278307+179662*sqrt(2))/337^2. +0
4
4, 6, 8, 7, 7, 8, 8, 3, 6, 6, 9, 2, 2, 9, 7, 1, 9, 6, 1, 1, 6, 7, 2, 9, 9, 1, 7, 1, 1, 5, 5, 5, 3, 3, 4, 3, 0, 7, 0, 7, 1, 8, 5, 8, 3, 8, 3, 3, 5, 9, 3, 0, 0, 9, 2, 9, 2, 2, 0, 8, 8, 2, 0, 2, 6, 5, 1, 1, 7, 2, 2, 2, 6, 0, 9, 5, 6, 6, 9, 3, 7, 1, 1, 6, 5, 8, 8, 4, 3, 9, 7, 9, 6, 3, 9, 9, 3, 1, 6, 9, 2, 6, 9, 0, 6 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (278307+179662*sqrt(2))/337^2 for n mod 3 = 0, b = A129999.

lim_{n -> infinity} b(n)/b(n-1) = (278307+179662*sqrt(2))/337^2 for n mod 3 = 1, b = A159574.

FORMULA

(278307+179662*sqrt(2))/337^2 = (626+287*sqrt(2))/(626-287*sqrt(2))

= (3+2*sqrt(2))*(26-sqrt(2))^2/(26+sqrt(2))^2.

EXAMPLE

(278307+179662*sqrt(2))/337^2 = 4.68778836692297196116...

CROSSREFS

Cf. A129999, A159574, A002193 (decimal expansion of sqrt(2)), A159575 (decimal expansion of (339+26*sqrt(2))/337).

Sequence in context: A083256 A083257 A141219 this_sequence A163639 A095253 A027709

Adjacent sequences: A159573 A159574 A159575 this_sequence A159577 A159578 A159579

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 16 2009

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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