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A342080 Numbers that cannot be expressed as the sum of one or more numbers without any repeated digits. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 26 16:55 EDT 2022. Contains 354885 sequences. (Running on oeis4.)