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Crank

The Andrews-Garvan crank: the largest part when λ has no 1s, else (parts larger than the number of 1s) minus (the number of 1s).

Crank(partition)

Domain: Partition statistics

Details
  • Defined over `IntegerPartition` as an expression in `_x`, evaluated by compute-engine — the definition IS the implementation.
  • Takes a `IntegerPartition` and nothing else — it reads values against their positions, or walks the orbits, so it needs the bijection. Applying it to a bare list is a type error, not a wrong answer.

Examples