0,1

Has the property that the continued fraction

[0; 3, 2, 0, 6, 2, 2, 4, 1, 1, 3, 3, 4, 1, 9,

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

4, 4, 2, 2, 4, 1, 1, 2, 1, 8, 1, 2, 2, 1, 1, 4, 2, 3, 1, 2, 1, 2, 1,

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

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

= 2841811577511303983409363256028316730642 /

8863421510947433793512472278725472500639

which is:

0.32062241133419090614295906113217190904422411218122114231212111121\

948127129021611293319604592075099759507890...

giving us 81 decimal digits of agreement with

0.32062241133419090614295906113217190904422411218122114231212111121\

948127129021611212329042902168315212111214...

However, there is no obvious methodology with which to get more terms.

Eric Weisstein's World of Mathematics, Trott's Constant

Ed Pegg, Jr., MathPuzzle - see Dec 21 2005 column.

Cf. A039662.

Adjacent sequences: A114373 A114374 A114375 this_sequence A114377 A114378 A114379

Sequence in context: A092092 A086800 A079408 this_sequence A058096 A049780 A080779

nonn,cons

Hans Havermann (pxp(AT)rogers.com), Dec 23 2005