A159591 Decimal expansion of (507363+329222*sqrt(2))/449^2.

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

Offset

1,1

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A130004.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159589.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

Equals (842+391*sqrt(2))/(842-391*sqrt(2)).

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

Example

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

Mathematica

RealDigits[(507363+329222*Sqrt[2])/449^2, 10, 100][[1]] (* G. C. Greubel, May 05 2018 *)

Prog

(PARI) (507363+329222*sqrt(2))/449^2 \\ G. C. Greubel, May 05 2018
(Magma) (507363+329222*Sqrt(2))/449^2; // G. C. Greubel, May 05 2018

Crossrefs

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

Sequence in context: A072616 A059627 A200603 * A270857 A113307 A021901

Adjacent sequences: A159588 A159589 A159590 * A159592 A159593 A159594

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 17 2009

Status

approved