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A069800
Triangular array in which n-th row consists of numbers with digit sum n arranged in increasing numerical order.
6
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
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
KEYWORD
nonn,tabf,base
AUTHOR
Amarnath Murthy, Apr 13 2002
EXTENSIONS
More terms from T. D. Noe, Oct 27 2008
STATUS
approved