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

1,2

Comments

0 is not allowed as a digit.

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

Links

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

Example

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

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 *)

Crossrefs

Cf. A069801.

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

Sequence in context: A263328 A081926 A242614 * A275536 A060002 A110741

Adjacent sequences: A069797 A069798 A069799 * A069801 A069802 A069803

Keyword

nonn,tabf,base

Author

Amarnath Murthy, Apr 13 2002

Extensions

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

Status

approved