FUNCTION: partitions[ptnOE] - partitions enumerated by OE(n) CALLING SEQUENCE: ptnOE(ptn) PARAMETERS: ptn - partition GLOBAL VARIABLES: NONE SYNOPSIS: Returns true if ptn is a partition has all even parts are less than all odd EXAMPLES: > with(combinat): > with(partitions): > with(qseries): > ptns:=partition(8): > ptns1:=select(ptnOE,ptns); ptns1 := [[1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2], [1, 1, 1, 1, 1, 3], [1, 1, 3, 3], [2, 3, 3], [2, 2, 4], [4, 4], [1, 1, 1, 5], [3, 5], [2, 6], [1, 7], [8]] > nops(ptns), nops(ptns1); 22, 12 DISCUSSION: Of the 22 oartitions of 8 only 12 satisfy the condition and they are listed SEE ALSO: POE