

A069800


Triangular array in which nth 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
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OFFSET

1,2


COMMENTS

0 is not allowed as a digit.
Row n has A104144(n+8) terms.


LINKS

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


EXAMPLE

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}]] [From T. D. Noe, Oct 27 2008]


CROSSREFS

Cf. A069801.
A007953 [From 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

Extension from T. D. Noe, Oct 27 2008
Comment corrected.  T. D. Noe, Oct 27 2008


STATUS

approved



