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A159591 Decimal expansion of (507363+329222*sqrt(2))/449^2. +0
4
4, 8, 2, 6, 1, 3, 2, 8, 9, 3, 3, 4, 6, 7, 3, 4, 8, 7, 8, 0, 8, 3, 8, 8, 6, 3, 1, 5, 8, 5, 0, 4, 4, 3, 3, 0, 5, 4, 5, 4, 1, 6, 2, 0, 0, 3, 9, 3, 5, 2, 4, 6, 3, 4, 5, 7, 3, 9, 2, 2, 1, 8, 1, 2, 8, 9, 1, 7, 2, 6, 3, 7, 0, 5, 2, 5, 2, 0, 4, 7, 5, 3, 6, 6, 8, 8, 9, 1, 9, 4, 4, 1, 1, 9, 3, 9, 8, 2, 8, 6, 0, 1, 5, 2, 8 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

lim_{n -> infinity} b(n)/b(n-1) = (507363+329222*sqrt(2))/449^2 for n mod 3 = 0, b = A130004.

lim_{n -> infinity} b(n)/b(n-1) = (507363+329222*sqrt(2))/449^2 for n mod 3 = 1, b = A159589.

FORMULA

(507363+329222*sqrt(2))/449^2 = (842+391*sqrt(2))/(842-391*sqrt(2))

= (3+2*sqrt(2))*(30-sqrt(2))^2/(30+sqrt(2))^2.

EXAMPLE

(507363+329222*sqrt(2))/449^2 = 4.82613289334673487808...

CROSSREFS

Cf. A130004, A159589, A002193 (decimal expansion of sqrt(2)), A159590 (decimal expansion of (451+30*sqrt(2))/449).

Sequence in context: A019954 A072616 A059627 this_sequence A113307 A021901 A159194

Adjacent sequences: A159588 A159589 A159590 this_sequence A159592 A159593 A159594

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 17 2009

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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