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A114376
A modified Trott constant.
3
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
Ed Pegg, Jr., MathPuzzle - see Dec 21 2005 column.
Eric Weisstein's World of Mathematics, Trott Constants
CROSSREFS
Cf. A039662.
Sequence in context: A338022 A253176 A079408 * A216395 A058096 A049780
KEYWORD
nonn,cons
AUTHOR
Hans Havermann, Dec 23 2005
STATUS
approved