// output of ./demo/comb/partition-refined-demo.cc:
// Description:
//% Generate all maximally refined partitions.
//% See http://oeis.org/A179009 for the definition of a maximally refined partition.

arg 1: 35 == n  [Partitions of n]  default=35
arg 2: 0 == mp  [Minimal part > mp,  0 <= mp < n]  default=0
   1:  1+2+3+4+5+6+14
   2:  1+2+3+4+5+7+13
   3:  1+2+3+4+5+8+12
   4:  1+2+3+4+5+9+11
   5:  1+2+3+4+6+7+12
   6:  1+2+3+4+6+8+11
   7:  1+2+3+4+6+9+10
   8:  1+2+3+4+7+8+10
   9:  1+2+3+5+6+7+11
  10:  1+2+3+5+6+8+10
  11:  1+2+3+5+7+8+9
  12:  1+2+4+5+6+7+10
  13:  1+2+4+5+6+8+9
  14:  1+3+4+5+6+7+9
  15:  2+3+4+5+6+7+8
 35:  ct=15