 Starting with,

and noting that formula_105 then,

as well as,

though the ones using the complements do not yet have a rigorous proof.A conjectured formula using one of the last three sequences is,

which implies there might be examples for all sequences of level 10.Define the McKay–Thompson series of class 11A,

where,

and,

No closed-form in terms of binomial coefficients is yet known for the sequence but it obeys the recurrence relation,

with initial conditions "s"(0) = 1, "s"(1) = 4.