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Search: id:A131639
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| A131639 |
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Numbers n such that the sum of all numbers formed by deleting one digit from n is equal to n. |
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+0
1
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| 1729404, 1800000, 13758846, 13800000, 14358846, 14400000, 15000000, 28758846, 28800000, 29358846, 29400000
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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For a number with n digits there are n substrings generated by removing one digit from the original number. So for 12345, these are 2345, 1345, 1245, 1235, 1234. Sum(x) is defined as the sum of this substrings for a number x, and the sequence above is those numbers so that sum(x) = x.
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EXAMPLE
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First term is 1729404 because sum(1729404) = 729404 + 129404 + 179404 + 172404 + 172904 + 172944 + 172940 = 1729404
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CROSSREFS
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Cf. A093882.
Sequence in context: A083600 A121887 A083646 this_sequence A124068 A090054 A095391
Adjacent sequences: A131636 A131637 A131638 this_sequence A131640 A131641 A131642
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KEYWORD
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base,easy,nonn
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AUTHOR
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Jon Ayres (jonathan.ayres(AT)ntlworld), Sep 05 2007
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