// output of ./demo/comb/rgs-maxincr-demo.cc: // Description: //% Restricted growth strings (RGS) s[0,...,n-1] //% so that s[k] <= max( j < k, s[j] + i ) //% Lexicographic order //% OEIS sequences: //% i=1 ==> Bell numbers, A000110 //% i=2 ==> A080337, see also A080107 //% i=3 ==> A189845 arg 1: 4 == n [Length of restricted growth strings] default=4 arg 2: 2 == i [Increment allowed (1==> set partitions)] default=2 1: [ . . . . ] 2: [ . . . 1 ] 3: [ . . . 2 ] 4: [ . . 1 . ] 5: [ . . 1 1 ] 6: [ . . 1 2 ] 7: [ . . 1 3 ] 8: [ . . 2 . ] 9: [ . . 2 1 ] 10: [ . . 2 2 ] 11: [ . . 2 3 ] 12: [ . . 2 4 ] 13: [ . 1 . . ] 14: [ . 1 . 1 ] 15: [ . 1 . 2 ] 16: [ . 1 . 3 ] 17: [ . 1 1 . ] 18: [ . 1 1 1 ] 19: [ . 1 1 2 ] 20: [ . 1 1 3 ] 21: [ . 1 2 . ] 22: [ . 1 2 1 ] 23: [ . 1 2 2 ] 24: [ . 1 2 3 ] 25: [ . 1 2 4 ] 26: [ . 1 3 . ] 27: [ . 1 3 1 ] 28: [ . 1 3 2 ] 29: [ . 1 3 3 ] 30: [ . 1 3 4 ] 31: [ . 1 3 5 ] 32: [ . 2 . . ] 33: [ . 2 . 1 ] 34: [ . 2 . 2 ] 35: [ . 2 . 3 ] 36: [ . 2 . 4 ] 37: [ . 2 1 . ] 38: [ . 2 1 1 ] 39: [ . 2 1 2 ] 40: [ . 2 1 3 ] 41: [ . 2 1 4 ] 42: [ . 2 2 . ] 43: [ . 2 2 1 ] 44: [ . 2 2 2 ] 45: [ . 2 2 3 ] 46: [ . 2 2 4 ] 47: [ . 2 3 . ] 48: [ . 2 3 1 ] 49: [ . 2 3 2 ] 50: [ . 2 3 3 ] 51: [ . 2 3 4 ] 52: [ . 2 3 5 ] 53: [ . 2 4 . ] 54: [ . 2 4 1 ] 55: [ . 2 4 2 ] 56: [ . 2 4 3 ] 57: [ . 2 4 4 ] 58: [ . 2 4 5 ] 59: [ . 2 4 6 ] ct=59