The level-two weighted sum formula conjecture
For r≥1r\geq 1r≥1 and 0≤a≤r0\leq a\leq r0≤a≤r, consider all indices (k1,…,kr)(k_1,\ldots,k_r)(k1,…,kr) with ki∈{1,2}k_i\in\{1,2\}ki∈{1,2} and exactly aaa entries equal to 222. Let #{i∣i odd, ki=2}\#\{i\mid i\text{ odd},\ k_i=2\}#{i∣i odd, ki=2} count t…
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