A159590 - OEIS

A159590

Decimal expansion of (451+30*sqrt(2))/449.

1, 0, 9, 8, 9, 4, 5, 2, 2, 6, 8, 8, 4, 6, 1, 6, 5, 9, 5, 6, 8, 8, 3, 0, 8, 8, 2, 3, 4, 4, 3, 8, 5, 5, 1, 0, 5, 4, 7, 2, 3, 6, 1, 1, 4, 9, 8, 0, 2, 4, 6, 8, 6, 9, 0, 8, 5, 8, 1, 3, 0, 0, 4, 9, 3, 0, 8, 9, 5, 7, 6, 2, 6, 6, 2, 3, 3, 0, 3, 3, 6, 5, 6, 2, 4, 7, 4, 7, 4, 9, 6, 7, 2, 5, 6, 7, 7, 6, 1, 0, 6, 5, 0, 4, 4

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OFFSET

1,3

LINKS

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

Index entries for algebraic numbers, degree 2.

FORMULA

Equals (30+sqrt(2))/(30-sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130004.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159589.

Minimal polynomial: 449*x^2 - 902*x + 449. - Amiram Eldar, May 09 2026

EXAMPLE