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.

1, 1, 1, 1, -2, -5, -6, 3, 10, 90, -5, -13, -14, 5, 30, 510, -10, -21, -22, 7, 60, 2100, -14, -29, -30

Offset

0,5

Comments

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)

Links

Table of n, a(n) for n=0..24.

Crossrefs

Cf. A073101, A075245, A075246, A075247, A154925

Sequence in context: A309364 A062825 A154925 * A091655 A362977 A353604

Adjacent sequences: A154959 A154960 A154961 * A154963 A154964 A154965

Keyword

sign

Author

Alexander R. Povolotsky, Jan 18 2009, corrected Jan 20 2009

Status

approved