A099805 -id:A099805 - cp's OEIS frontend

A099804 Records for terms in the continued fraction of Soldner's constant.

1, 2, 4, 47, 99, 294, 527, 616, 1152, 1456, 2638, 2705, 4105, 31772, 88683, 90658, 95845, 237245, 1387437, 5499408, 12672729, 110482114

Offset: 1

Eric W. Weisstein, Oct 26 2004

Eric Weisstein's World of Mathematics, Soldner's Constant Continued Fraction

Cf. A070769 (decimal expansion of Soldner's constant).

Cf. A099805, A229230.

f = FindRoot[LogIntegral@x, {x, 3/2}, WorkingPrecision -> 2^17][[1, 2]]; cf = ContinuedFraction@f; k = 1; mx = 0; lst = {}; len = Length@ cf; While[k < len, If[cf[[k]] > mx, mx = cf[[k]]; AppendTo[lst, cf[[k]]]]; k++ ]; lst (* Robert G. Wilson v, Aug 05 2010 *)

a(15) from Robert G. Wilson v, Aug 05 2010
More terms from Eric W. Weisstein, Sep 16 2013
a(21)-a(22) from Eric W. Weisstein, Oct 07 2013

A229230 Positions of incrementally largest terms in the continued fraction of Soldner's constant.

Original entry on oeis.org

0, 1, 2, 11, 69, 125, 201, 584, 1591, 2435, 2543, 4813, 9602, 12147, 122446, 172037, 185124, 203717, 319849, 471163, 3876852, 4491253

Offset: 1

Eric W. Weisstein, Sep 16 2013

Correctly indexed version of A099805 with [a_0; a_1, a_2, ...] = [1; 2, 4, 1, 1, 1, 3, ...]

Eric Weisstein's World of Mathematics, Soldner's Constant Continued Fraction

Cf. A070769 (decimal expansion of Soldner's constant).

Cf. A099805 (= a(n) - 1).

a(n) = A099805(n) - 1.

a(21)-a(22) from Eric W. Weisstein, Oct 07 2013

cp's OEIS Frontend

A099804 Records for terms in the continued fraction of Soldner's constant.

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