1If n is an integer having binary expansion n = ϵ+2k1+2k2+⋅⋅⋅+2kr,ϵ ∈{0,1},0 < k1 < k2 <   ⋅⋅⋅ < kr, the number of chiral partitions of n is 2k2+⋅⋅⋅+kr(2k1-1 +v=1k1-12(v+1)(k1-2)- v
(2)+ϵ2 k1
(2)); see Ayyer, Prasad, and Spallone, JCTA, vol. 150, 2017.