Representable Numbers with 2 Small Step Chains 0 3* 3 @(p)+@(q)+@(r) 1 4* 1 @(p)+@(p-5)+@(p-6)+@(p-7) 2 4* 2 @(p)+@(p-3)+@(q)+@(q-1) 3 4* 3 @(p)+@(q)+@(r)+@(-p+q+r) 4 4* 3 @(p)+@(q)+@(r)+@(-p+q+r+1) legend: 1st column: unique counter 2nd column: number of terms in sum (1-bits in binary representation) 3rd column: a star indicates constructable by a star-chain 4th column: number of parameters for this family p,q,r are free variables for non negative integer values @(.) means 2^(.) all 2-power exponents are strictly montonic decreasing ordered in the sum representation of each parametric family