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A160582 Decimal expansion of (213651+31850*sqrt(2))/457^2. +0
4
1, 2, 3, 8, 6, 6, 3, 8, 2, 8, 7, 0, 6, 7, 8, 3, 7, 3, 9, 9, 4, 7, 6, 8, 3, 6, 6, 5, 5, 4, 8, 2, 1, 3, 7, 0, 3, 6, 9, 2, 3, 5, 2, 1, 2, 6, 3, 2, 4, 5, 4, 9, 2, 9, 7, 0, 0, 7, 2, 9, 8, 3, 3, 3, 5, 0, 8, 9, 2, 1, 8, 9, 7, 8, 2, 5, 7, 8, 8, 5, 3, 2, 3, 2, 4, 2, 3, 8, 2, 9, 1, 6, 2, 8, 5, 7, 0, 8, 0, 5, 1, 8, 2, 7, 4 (list; cons; graph; listen)
OFFSET

1,2

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (213651+31850*sqrt(2))/457^2 for n mod 3 = 0, b = A129642.

lim_{n -> infinity} b(n)/b(n-1) = (213651+31850*sqrt(2))/457^2 for n mod 3 = 1, b = A160580.

FORMULA

(213651+31850*sqrt(2))/457^2 = (650+49*sqrt(2))/(650-49*sqrt(2))

= (3+2*sqrt(2))*(23-6*sqrt(2))^2/(23+6*sqrt(2))^2.

EXAMPLE

(213651+31850*sqrt(2))/457^2 = 1.23866382870678373994...

CROSSREFS

Cf. A129642, A160580, A002193 (decimal expansion of sqrt(2)), A160581 (decimal expansion of (601+276*sqrt(2))/457).

Sequence in context: A160099 A093098 A021423 this_sequence A112977 A120390 A109230

Adjacent sequences: A160579 A160580 A160581 this_sequence A160583 A160584 A160585

KEYWORD

cons,nonn

AUTHOR

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

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


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