// output of ./demo/comb/composition-unimodal-demo.cc: // Description: //% Strongly unimodal compositions. //% Internal representation as list of parts in weakly ascending //% order, with each part except for the last of 2 sorts and no //% repeated parts of the same sort. //% Cf. OEIS sequence A059618. arg 1: 12 == n [Strongly unimodal compositions of n] default=12 1: [ 1 2 6 2 1 ] 2: [ 1 2 3 5 1 ] 3: [ 1 2 5 3 1 ] 4: [ 1 2 8 1 ] 5: [ 1 3 5 2 1 ] 6: [ 1 5 3 2 1 ] 7: [ 1 8 2 1 ] 8: [ 1 3 4 3 1 ] 9: [ 1 3 7 1 ] 10: [ 1 7 3 1 ] 11: [ 1 4 6 1 ] 12: [ 1 6 4 1 ] 13: [ 1 10 1 ] 14: [ 1 2 3 4 2 ] 15: [ 1 2 4 3 2 ] 16: [ 1 2 7 2 ] 17: [ 1 2 3 6 ] 18: [ 1 2 6 3 ] 19: [ 1 2 4 5 ] 20: [ 1 2 5 4 ] 21: [ 1 2 9 ] 22: [ 1 3 6 2 ] 23: [ 1 6 3 2 ] 24: [ 1 4 5 2 ] 25: [ 1 5 4 2 ] 26: [ 1 9 2 ] 27: [ 1 3 5 3 ] 28: [ 1 3 8 ] 29: [ 1 8 3 ] 30: [ 1 4 7 ] 31: [ 1 7 4 ] 32: [ 1 5 6 ] 33: [ 1 6 5 ] 34: [ 1 11 ] 35: [ 2 3 4 2 1 ] 36: [ 2 4 3 2 1 ] 37: [ 2 7 2 1 ] 38: [ 2 3 6 1 ] 39: [ 2 6 3 1 ] 40: [ 2 4 5 1 ] 41: [ 2 5 4 1 ] 42: [ 2 9 1 ] 43: [ 3 6 2 1 ] 44: [ 6 3 2 1 ] 45: [ 4 5 2 1 ] 46: [ 5 4 2 1 ] 47: [ 9 2 1 ] 48: [ 3 5 3 1 ] 49: [ 3 8 1 ] 50: [ 8 3 1 ] 51: [ 4 7 1 ] 52: [ 7 4 1 ] 53: [ 5 6 1 ] 54: [ 6 5 1 ] 55: [ 11 1 ] 56: [ 2 3 5 2 ] 57: [ 2 5 3 2 ] 58: [ 2 8 2 ] 59: [ 2 3 4 3 ] 60: [ 2 3 7 ] 61: [ 2 7 3 ] 62: [ 2 4 6 ] 63: [ 2 6 4 ] 64: [ 2 10 ] 65: [ 3 4 3 2 ] 66: [ 3 7 2 ] 67: [ 7 3 2 ] 68: [ 4 6 2 ] 69: [ 6 4 2 ] 70: [ 10 2 ] 71: [ 3 6 3 ] 72: [ 3 4 5 ] 73: [ 3 5 4 ] 74: [ 3 9 ] 75: [ 4 5 3 ] 76: [ 5 4 3 ] 77: [ 9 3 ] 78: [ 4 8 ] 79: [ 8 4 ] 80: [ 5 7 ] 81: [ 7 5 ] 82: [ 12 ] ct=82