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

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, 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, 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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..105.

Mark A. Herkommer, The Incredible Herkommer Number

Mark A. Herkommer, Continued Fractions

Example

2.5360270816893...

Mathematica

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

Crossrefs

Cf. A000796.

Sequence in context: A365723 A124568 A091807 * A198140 A339259 A340066

Adjacent sequences: A085822 A085823 A085824 * A085826 A085827 A085828

Keyword

cons,nonn

Author

Robert G. Wilson v, Jul 05 2003

Status

approved