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Search: id:A160585
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A160585 Decimal expansion of (520659+314170*sqrt(2))/521^2. +0
4
3, 5, 5, 4, 9, 6, 2, 1, 2, 7, 6, 4, 7, 4, 6, 3, 9, 8, 4, 7, 4, 0, 7, 9, 6, 5, 1, 3, 7, 3, 5, 8, 0, 5, 7, 3, 8, 0, 5, 8, 1, 1, 8, 7, 5, 5, 4, 0, 9, 7, 4, 1, 9, 9, 2, 3, 6, 6, 3, 6, 1, 2, 8, 3, 9, 7, 9, 0, 1, 7, 2, 5, 5, 1, 6, 2, 0, 4, 3, 2, 0, 0, 5, 3, 2, 0, 7, 2, 3, 5, 3, 3, 2, 8, 0, 3, 5, 0, 1, 6, 4, 7, 1, 9, 3 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (520659+314170*sqrt(2))/521^2 for n mod 3 = 0, b = A129725.

lim_{n -> infinity} b(n)/b(n-1) = (520659+314170*sqrt(2))/521^2 for n mod 3 = 1, b = A160583.

FORMULA

(520659+314170*sqrt(2))/521^2 = (890+353*sqrt(2))/(890-353*sqrt(2))

= (3+2*sqrt(2))*(23-2*sqrt(2))^2/(23+2*sqrt(2))^2.

EXAMPLE

(520659+314170*sqrt(2))/521^2 = 3.55496212764746398474...

CROSSREFS

Cf. A129725, A160583, A002193 (decimal expansion of sqrt(2)), A160584 (decimal expansion of (537+92*sqrt(2))/521).

Adjacent sequences: A160582 A160583 A160584 this_sequence A160586 A160587 A160588

Sequence in context: A053670 A085963 A119280 this_sequence A016658 A131506 A113722

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 08 2009

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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