%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 ErdosStraus 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/hostedsites/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
