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A085825 Decimal expansion of number with continued fraction 2 + 3/5 + 7/11 + 13/17 + 19/23 + ... 3

%I #9 Dec 27 2015 04:07:16

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

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

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

%N Decimal expansion of number with continued fraction 2 + 3/5 + 7/11 + 13/17 + 19/23 + ...

%C Mark A. Herkommer, Number Theory, A Programmer's Guide, McGraw-Hill, NY, 1999, p. 181.

%H Mark A. Herkommer, <a href="http://www.herkommer.org/misc/herk_num.htm">The Incredible Herkommer Number</a>

%H Mark A. Herkommer, <a href="http://www.herkommer.org/misc/contfrac.htm">Continued Fractions</a>

%e 2.5360270816893...

%t s = 0; Do[s = Prime[2n] / (Prime[2n + 1] + s), {n, 70, 1, -1}]; RealDigits[2 + s, 10, 111][[1]]

%Y Cf. A000796.

%K cons,nonn

%O 1,1

%A _Robert G. Wilson v_, Jul 05 2003

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