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A342080 Numbers that cannot be expressed as the sum of one or more numbers without any repeated digits. 1

%I #17 Apr 01 2021 14:42:12

%S 18872,18874,18890,18892,22085,22111,22112,22116,22120,22121,22130,

%T 22210,22211,22220,22256,22310,22570,22571,22580,22607,22616,22652,

%U 22670,22679,22697,22706,22710,22724,22762,22825,22832,22841,22850,22859,22864

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

%C Computer solutions found by Oscar Volpatti.

%C All numbers > 9876543210 are terms. Number of terms <= 987654210 is 9862729718. - _Chai Wah Wu_, Apr 01 2021

%H Chai Wah Wu, <a href="/A342080/b342080.txt">Table of n, a(n) for n = 1..10000</a>

%H Carlos Rivera and Rodolfo Kurchan, <a href="https://www.primepuzzles.net/puzzles/puzz_1030.htm">Puzzle 1030, A puzzle cousin of puzzle 1027</a>, The Prime Puzzles and Problems Connection.

%e Example of numbers with solutions:

%e 393 = 352 + 41;

%e 856 = 856;

%e 1000 = 987 + 13;

%e 1111 = 987 + 124 or 1024 + 87;

%e 45 = 45 or 42 + 3 or 1+2+3+4+5+6+7+8+9;

%e 10002 = 9874 + 125 + 3.

%e The smallest number without solution is 18872.

%Y Cf. A339673.

%K base,nonn

%O 1,1

%A _Rodolfo Kurchan_, Feb 27 2021

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Last modified April 17 20:17 EDT 2024. Contains 371767 sequences. (Running on oeis4.)