A159576 - OEIS

A159576

Decimal expansion of (278307+179662*sqrt(2))/337^2.

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

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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 (626+287*sqrt(2))/(626-287*sqrt(2)).

Equals (3+2*sqrt(2))*(26-sqrt(2))^2/(26+sqrt(2))^2.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 0, b = A129999.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 1, b = A159574.

Minimal polynomial: 113569*x^2 - 556614*x + 113569. - Amiram Eldar, May 09 2026