Thanatipanonda's generalized binomial-power expansion conjecture
Fix integers ddd, k≥0k\geq 0k≥0, and r≥1r\geq 1r≥1. The coefficients ad,k,j(r)a^{(r)}_{d,k,j}ad,k,j(r) are intended to expand powers of (n+dkk)\binom{n+dk}{k}(kn+dk) in the family (n+djj)\binom{n+dj}{j}(jn+dj). Generalized expan…