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A159895 Decimal expansion of (1304787+843542*sqrt(2))/727^2. +0
4
4, 7, 2, 5, 8, 2, 4, 9, 5, 3, 4, 6, 7, 6, 9, 1, 1, 6, 4, 8, 2, 9, 6, 9, 5, 4, 5, 6, 2, 5, 1, 7, 8, 0, 1, 9, 8, 6, 1, 3, 1, 6, 6, 2, 6, 5, 4, 2, 5, 7, 7, 8, 9, 6, 6, 7, 9, 9, 5, 5, 6, 4, 6, 6, 2, 3, 7, 7, 6, 2, 6, 5, 1, 3, 3, 3, 9, 5, 2, 7, 1, 7, 3, 8, 3, 4, 0, 4, 8, 8, 6, 9, 2, 5, 4, 2, 4, 0, 1, 1, 8, 2, 9, 1, 3 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (1304787+843542*sqrt(2))/727^2 for n mod 3 = 0, b = A130646.

lim_{n -> infinity} b(n)/b(n-1) = (1304787+843542*sqrt(2))/727^2 for n mod 3 = 1, b = A159893.

FORMULA

(1304787+843542*sqrt(2))/727^2 = (1354+623*sqrt(2))/(1354-623*sqrt(2))

= (3+2*sqrt(2))*(27-sqrt(2))^2/(27+sqrt(2))^2.

EXAMPLE

(1304787+843542*sqrt(2))/727^2 = 4.72582495346769116482...

CROSSREFS

Cf. A130646, A159893, A002193 (decimal expansion of sqrt(2)), A159894 (decimal expansion of (731+54*sqrt(2))/727).

Sequence in context: A132026 A130882 A164106 this_sequence A113963 A071932 A139348

Adjacent sequences: A159892 A159893 A159894 this_sequence A159896 A159897 A159898

KEYWORD

cons,nonn

AUTHOR

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

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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