E. A Memo Operator — Partition Function | Index << >> |
Euler’s pentagonal number theorem (1750): ![]() http://mathworld.wolfram.com/PartitionFunctionP.html, equation (11). pn ← {1≥⍵:0≤⍵ ⋄ -/+⌿∇¨rec ⍵} rec ← {⍵ - (÷∘2 (×⍤1) ¯1 1 ∘.+ 3∘×) 1+⍳⌈0.5*⍨⍵×2÷3} pn¨ 0 1 2 3 4 5 6 1 1 2 3 5 7 11 pn 30 5604 |