Volume 10, Issue 2 Articles In and Out Trott's Corner Beyond Sudoku New Products New Publications Calendar News Bulletins New Resources Classifieds Download This Issue Editorial Policy Staff and Contributors Submissions Subscriptions Advertising Back Issues Contact Information 
T R O T T ' S C O R N E R
Existing SequencesThe OnLine Encyclopedia of Integer Sequences currently (January 2006) lists the following Trott constants: www.research.att.com/projects/OEIS?Anum=A039662 Meaning the following holds:
www.research.att.com/projects/OEIS?Anum=A091694 So the following holds:
www.research.att.com/projects/OEIS?Anum=A113307
Section 1.2.3 of The Mathematica GuideBook for Programming uses a version of the following oneliner to find such a number.
Here is a continued fraction made from this sequence of integers.
Here is the corresponding fraction and its 100digit decimal approximation.
The first 100 digits of the continued fraction and the decimal expansion are identical.
We will implement an expanded version of the program that calculated heldCF and use it to find various numbers (which MathWorld's creator Eric Weisstein calls "Trott's Constants" [1]) whose simple or nonsimple continued fraction approximation agrees with their base radix representation up to a few hundred digits.


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