A159751 - OEIS

A159751

Decimal expansion of (51 + 14*sqrt(2))/47.

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

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OFFSET

1,2

LINKS

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

Index entries for algebraic numbers, degree 2.

FORMULA

Equals (7 + sqrt(2))/(7 - sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A118675.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}. b = A159750.

Minimal polynomial: 47*x^2 - 102*x + 47. - Amiram Eldar, May 09 2026

EXAMPLE