A083729 -id:A083729 - cp's OEIS frontend

A157121 Decimal expansion of 11+3*sqrt(2).

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

Offset: 2

Klaus Brockhaus, Feb 25 2009

lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {1, 2}, b = A157119.

lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {0, 2}, b = A157120.

			11+3*sqrt(2) = 15.24264068711928514640...

Muniru A Asiru, Table of n, a(n) for n = 2..2000
Index entries for algebraic numbers, degree 2.

Cf. A157119, A157120, A157122 (decimal expansion of 11-3*sqrt(2)), A157123 (decimal expansion of (11+3*sqrt(2))/(11-3*sqrt(2))).

evalf[120](11+3*sqrt(2)); # Muniru A Asiru, Feb 12 2019

RealDigits[11+3*Sqrt[2],10,120][[1]] (* Harvey P. Dale, Sep 12 2012 *)

Equals 7+A083729 = 11+A010474. [R. J. Mathar, Feb 27 2009]

cp's OEIS Frontend

A157121 Decimal expansion of 11+3*sqrt(2).

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