A342080 Numbers that cannot be expressed as the sum of one or more numbers without any repeated digits.

18872, 18874, 18890, 18892, 22085, 22111, 22112, 22116, 22120, 22121, 22130, 22210, 22211, 22220, 22256, 22310, 22570, 22571, 22580, 22607, 22616, 22652, 22670, 22679, 22697, 22706, 22710, 22724, 22762, 22825, 22832, 22841, 22850, 22859, 22864

Offset

1,1

Comments

Computer solutions found by Oscar Volpatti.

All numbers > 9876543210 are terms. Number of terms <= 987654210 is 9862729718. - Chai Wah Wu, Apr 01 2021

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Carlos Rivera and Rodolfo Kurchan, Puzzle 1030, A puzzle cousin of puzzle 1027, The Prime Puzzles and Problems Connection.

Example

Example of numbers with solutions:
393 = 352 + 41;
856 = 856;
1000 = 987 + 13;
1111 = 987 + 124 or 1024 + 87;
45 = 45 or 42 + 3 or 1+2+3+4+5+6+7+8+9;
10002 = 9874 + 125 + 3.
The smallest number without solution is 18872.

Crossrefs

Cf. A339673.

Sequence in context: A243134 A212077 A224573 * A251015 A277787 A252885

Adjacent sequences: A342077 A342078 A342079 * A342081 A342082 A342083

Keyword

base,nonn

Author

Rodolfo Kurchan, Feb 27 2021

Status

approved