Series and other data related to the five-particle contribution χ(6) to the square lattice Ising model susceptibility.

First a bit of notation. The `natural' variables are s=sinh(2J/kT) and w=s/(2(1+s2)) and x=w2.

Some exact results for n-particle contributions to the susceptibility

 

Some exact series mod various primes.

 

Some exact results for factors occuring in the order 46 differential operator L46 annihilating the series   Φ(6)(6)-2/3χ(4)+2/45χ(2)