a sequence from analysis

[N. J. A. Sloane]

The whole sum up to that point should be just > 3

1 - (1/2 + 1/4 + 1/6 + ... 
+ 1/454) + (1/3 + 1/5 + 1/7 + ... + 1/(2m_2+1)) > 3

Another way of putting it:

1 + 1/3 + 1/5 + 1/7 + ... + 1/(2m_2+1) just > 3 + (1/2) H_{227}

where H_s = Harmonic number 1 + 1/2 + 1/3 + ... + 1/s



Then next time the whole sum should be just < -4


(Hans Havermann asked for clarification of the definition of A088403)

Neil