FUNCTION: partitions[overptncrank] - overpartition crank CALLING SEQUENCE: overptncrank(optn) PARAMETERS: optn - list [dptn, ptn] where dptn is a partition into distinct parts and ptn is a partition SYNOPSIS: overptncrank(optn) returns the overpartition crank of the overpartition optn EXAMPLES: > with(combinat): > with(partitions): > with(ocrank): > CT4:=[seq(overptncrank(overptns(4)[k]),k=1..14)]; CT4 := [-4, -2, 2, 0, 4, -3, 0, 3, -2, 2, -1, -1, 1, 1] > seq(nops(select(x->if x=k then true else false fi,CT4)),k=-4..4); 1, 1, 2, 2, 2, 2, 2, 1, 1 > seq(MBAR(abs(k),4),k=-4..4); 1, 1, 2, 2, 2, 2, 2, 1, 1 DISCUSSION: We calculated the 14 overpartitions of 4 and their overpartition cranks. We also confirmed the values of MBAR(m,n) for n = 4. MBAR(m,n) = number of overpartitions of n with overpartition crank m SEE ALSO: overptns, overptncrank