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A094148 Decimal expansion of log(3)/log(4). +0
2
7, 9, 2, 4, 8, 1, 2, 5, 0, 3, 6, 0, 5, 7, 8, 0, 9, 0, 7, 2, 6, 8, 6, 9, 4, 7, 1, 9, 7, 3, 9, 0, 8, 2, 5, 4, 3, 7, 9, 9, 0, 7, 2, 0, 3, 8, 4, 6, 2, 4, 0, 5, 3, 0, 2, 2, 7, 8, 7, 6, 3, 2, 7, 2, 7, 0, 5, 4, 9, 1, 1, 3, 8, 9, 7, 1, 7, 9, 2, 8, 1, 2, 6, 1, 1, 4, 0, 2, 3, 7, 4, 5, 9, 0, 4, 4, 1, 2, 1, 0, 4, 5, 4, 9 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

Gelfond showed abs( sup{ x in R} sum(0<=n<N, (-1)^t(n)*exp(i*x*n) ) <=C*N^(log(3)/log(4)) where t(n) is the Thue-Morse sequence and the exponent log(3)/log(4) is optimal.

REFERENCES

J.-P. Allouche & J. Shallit, Automatic sequences, Cambridge Univeristy Press, 2003, p 122

FORMULA

log(3)/log(4)=0.79248125036057...

CROSSREFS

Cf. A010060.

Sequence in context: A021562 A021852 A154197 this_sequence A154215 A001903 A011345

Adjacent sequences: A094145 A094146 A094147 this_sequence A094149 A094150 A094151

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 08 2004

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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