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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 (list; constant; graph; refs; listen; history; text; internal format)
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: A246773 A253176 A079408 * A216395 A058096 A049780

Adjacent sequences:  A114373 A114374 A114375 * A114377 A114378 A114379

KEYWORD

nonn,cons

AUTHOR

Hans Havermann, Dec 23 2005

STATUS

approved

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Last modified August 21 05:48 EDT 2019. Contains 326162 sequences. (Running on oeis4.)