On odd ranks of odd Durfee symbols

An odd Durfee symbol of n is an array of positive odd integers and a subscript D, a1a2⋯as b1 b2⋯btD such that 2D + 1 ≥ a1 ≥ a2 ≥⋯ ≥ as > 0, 2D + 1 ≥ b1 ≥ b2 ≥⋯ ≥ bt > 0, and n =∑i=1sa i +∑j=1tb j +...