A114376 A modified Trott constant.

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

Offset

0,1

Comments

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:

0.32062241133419090614295906113217190904422411218122114231212111121948127129021611293319604592075099759507890...

giving us 81 decimal digits of agreement with

0.32062241133419090614295906113217190904422411218122114231212111121948127129021611212329042902168315212111214...

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

For a non-obvious way to do this, see the Schoenfield link. - Jon E. Schoenfield, Apr 18 2010

Links

Table of n, a(n) for n=0..106.

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

Jon E. Schoenfield, Extending (arbitrarily far) the modified Trott constant of A114376

Eric Weisstein's World of Mathematics, Trott Constants

Crossrefs

Cf. A039662.

Sequence in context: A338022 A253176 A079408 * A216395 A058096 A049780

Adjacent sequences: A114373 A114374 A114375 * A114377 A114378 A114379

Keyword

nonn,cons

Author

Hans Havermann, Dec 23 2005

Status

approved