A069800 Triangular array in which n-th row consists of numbers with digit sum n arranged in increasing numerical order.

1, 2, 11, 3, 12, 21, 111, 4, 13, 22, 31, 112, 121, 211, 1111, 5, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 1121, 1211, 2111, 11111, 6, 15, 24, 33, 42, 51, 114, 123, 132, 141, 213, 222, 231, 312, 321, 411, 1113, 1122, 1131, 1212, 1221, 1311, 2112, 2121

Offset: 1

Author

Amarnath Murthy, Apr 13 2002

Keywords

• nonn
• tabf
• base

Comments

0 is not allowed as a digit.

Row n has A104144(n+8) terms. - T. D. Noe, Oct 27 2008

Examples

			Triangle begins:
  1;
  2,11;
  3,12,21,111;
  4,13,22,31,112,121,211,1111;
  ...
		

Links

• T. D. Noe, Rows n=1..11 of triangle, flattened

Crossrefs

Cf. A069801.

Cf. A007953. [T. D. Noe, Oct 27 2008]

Programs

Mathematica

Flatten[Table[p=Partitions[n,9]; Sort[Flatten[Table[FromDigits/@Permutations[p[[i]]], {i,Length[p]}]]], {n,6}]] (* T. D. Noe, Oct 27 2008 *)

Extensions

More terms from T. D. Noe, Oct 27 2008