A159591 - OEIS

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

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OFFSET

1,1

LINKS

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

Index entries for algebraic numbers, degree 2.

FORMULA

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

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

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

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

Minimal polynomial: 201601*x^2 - 1014726*x + 201601. - Amiram Eldar, May 07 2026