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

Author

Rodolfo Kurchan, Feb 27 2021

Keywords

• base
• nonn

Comments

Computer solutions found by Oscar Volpatti.

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

Examples

			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.
		

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.

Crossrefs

Cf. A339673.