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A159760 Decimal expansion of (10659+6110*sqrt(2))/79^2. +0
4
3, 0, 9, 2, 4, 2, 8, 2, 7, 5, 2, 9, 2, 3, 5, 8, 7, 1, 6, 2, 5, 9, 9, 4, 5, 2, 1, 7, 9, 0, 1, 1, 7, 8, 5, 3, 8, 7, 0, 5, 4, 4, 7, 0, 6, 9, 1, 4, 8, 0, 7, 7, 6, 6, 8, 1, 7, 9, 7, 0, 0, 8, 8, 1, 1, 2, 8, 5, 6, 5, 2, 0, 4, 8, 3, 9, 5, 2, 4, 7, 5, 6, 8, 2, 9, 9, 7, 4, 0, 1, 6, 1, 4, 1, 9, 4, 6, 8, 0, 4, 9, 0, 4, 8, 1 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (10659+6110*sqrt(2))/79^2 for n mod 3 = 0, b = A118676.

lim_{n -> infinity} b(n)/b(n-1) = (10659+6110*sqrt(2))/79^2 for n mod 3 = 1, b = A159758.

FORMULA

(10659+6110*sqrt(2))/79^2 = (130+47*sqrt(2))/(130-47*sqrt(2))

= 3+2*sqrt(2))*(9-sqrt(2))^2/(9+sqrt(2))^2.

EXAMPLE

(10659+6110*sqrt(2))/79^2 = 3.09242827529235871625...

CROSSREFS

Cf. A118676, A159758, A002193 (decimal expansion of sqrt(2)), A159759 (decimal expansion of (83+18*sqrt(2))/79).

Sequence in context: A079442 A016645 A096429 this_sequence A021101 A154202 A002346

Adjacent sequences: A159757 A159758 A159759 this_sequence A159761 A159762 A159763

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 30 2009

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


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