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A154962 The terms of this sequence are integer values of consecutive denominators (with signs) from the fractional expansion (using only fractions with numerators to be positive 1's) of the BBP polynomial ( 4/(8*k+1) - 2/(8*k+4) - 1/(8*k+5) - 1/(8*k+6) ) for all k (starting from 0 to infinity); for k>=1 the Erdos-Straus conjecture is applied to the first fraction - so it is always replaced by exactly three fractions. 2

%I

%S 1,1,1,1,-2,-5,-6,3,10,90,-5,-13,-14,5,30,510,-10,-21,-22,7,60,2100,

%T -14,-29,-30

%N The terms of this sequence are integer values of consecutive denominators (with signs) from the fractional expansion (using only fractions with numerators to be positive 1's) of the BBP polynomial ( 4/(8*k+1) - 2/(8*k+4) - 1/(8*k+5) - 1/(8*k+6) ) for all k (starting from 0 to infinity); for k>=1 the Erdos-Straus conjecture is applied to the first fraction - so it is always replaced by exactly three fractions.

%C This sequence is different from A154925, where the first fraction for k>=1 is expanded with Egyptians fractions, using R.Knott's converter calculator #1 (http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fractions/egyptian.html#calc1)

%Y Cf. A073101, A075245, A075246, A075247, A154925

%K sign

%O 0,5

%A _Alexander R. Povolotsky_, Jan 18 2009, corrected Jan 20 2009

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Last modified July 29 22:32 EDT 2021. Contains 346346 sequences. (Running on oeis4.)