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Search: id:A153980
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| A153980 |
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Positive integers n equal to the sum of all the different integers formed by the digits of n (n itself excluded), keeping the order of the digits. |
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+0
1
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| 259146, 2185871, 2191530, 20317438, 22608949, 30512946, 33685085, 46400839
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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Example 1 : 10554 is not in the sequence, because
0+ 1+ 4+ 5+ 10+ 14+ 15+ 54+ 55+ 104+ 105+ 154+ 155+ 554+ 1054+ 1055+ 1554 = 4893 (instead of 10554)
Example 2 : 259146 is in the sequence, because
1+ 2+ 4+ 5+ 6+ 9+ 14+ 16+ 21+ 24+ 25+ 26+ 29+ 46+ 51+ 54+ 56+ 59+ 91+ 94+ 96+ 146+ 214+ 216+ 246+ 251+ 254+ 256+ 259+ 291+ 294+ 296+ 514+ 516+ 546+ 591+ 594+ 596+ 914+ 916+ 946+ 2146+ 2514+ 2516+ 2546+ 2591+ 2594+ 2596+ 2914+ 2916+ 2946+ 5146+ 5914+ 5916+ 5946+ 9146+ 25146+ 25914+ 25916+ 25946+ 29146+ 59146 = 259146
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MATHEMATICA
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big = 55000000; seq = {}; i = 1;
f[x_] := Union[ Map[FromDigits, Subsets[IntegerDigits[x], {1, Length[IntegerDigits[x]] - 1}]]];
While[i < big, If[Total[f[i]] == i, Print[i]; AppendTo[seq, i]]; i++ ];
Print[seq]
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CROSSREFS
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Sequence in context: A105657 A065794 A157670 this_sequence A146897 A002272 A066914
Adjacent sequences: A153977 A153978 A153979 this_sequence A153981 A153982 A153983
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KEYWORD
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base,nonn,more
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AUTHOR
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Jean-Marc Falcoz (jeanmarcfalcoz(AT)vtxnet.ch), Jan 04 2009
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