A082268 Triangle read by rows in which the n-th row contains the numbers coprime to n that are made of nonzero digits and having a digit sum of n. An empty row is represented by a 0.

1, 11, 0, 13, 31, 121, 211, 1111, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 1121, 1211, 2111, 11111, 0, 16, 25, 34, 43, 52, 61, 115, 124, 142, 151, 214, 223, 232, 241, 313, 331, 412, 421, 1114, 1123, 1132, 1213, 1222, 1231, 1312, 1321, 1411, 2113

Offset

1,2

Links

Alois P. Heinz, Rows n = 1..16, flattened

Example

1
11
0
13 31 121 211 1111
14 23 32 41 113 122 131 212 221 311 1112 1121 1211 2111 11111
0
16 25 34 43 52 61 115 124 142 151 ...
...

Maple

T:= proc(n) uses combinat; `if`(irem(n, 3)=0, 0,
      select(h-> igcd(n, h)=1, sort(map(y-> parse(cat(y[])),
         map(x-> permute(x)[], partition(n, min(n, 9))))))[])
    end:
seq(T(n), n=1..7);  # Alois P. Heinz, Dec 05 2025

Crossrefs

Cf. A082269.

Sequence in context: A180059 A147765 A087556 * A087557 A186072 A299780

Adjacent sequences: A082265 A082266 A082267 * A082269 A082270 A082271

Keyword

base,nonn,tabf

Author

Amarnath Murthy, Apr 13 2003

Extensions

More terms from David Wasserman, Aug 30 2004

Status

approved