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Search: id:A075154
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| A075154 |
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a(n) is the smallest multiple of n such that a(n) mod 100 = n and S(n)=n where S(n) is the sum of the base ten digits of n, or 0 if no such a(n) exists. |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 910, 0, 912, 11713, 6314, 915, 3616, 15317, 918, 17119, 9920, 18921, 9922, 82823, 19824, 9925, 46826, 18927, 18928, 78329, 99930, 585931, 388832, 1098933, 198934, 289835, 99936, 99937, 478838, 198939, 1999840
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Sandro Boscaro, Nivenmorphic Integers, Journal of Recreational Mathematics, Vol. 28 (1996-97), Number 3, Pag. 201-205.
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LINKS
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Matthew M. Conroy, Home page (listed instead of email address)
Index entries for sequences related to automorphic numbers
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EXAMPLE
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a(10)=910 since 10 divides 910, 9+1+0=10 and 910 ends with 10.
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CROSSREFS
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Cf. A005349.
Adjacent sequences: A075151 A075152 A075153 this_sequence A075155 A075156 A075157
Sequence in context: A069747 A124107 A112014 this_sequence A070938 A070594 A121939
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KEYWORD
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nonn,base
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AUTHOR
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Sandro Boscaro (sboscaro(AT)libero.it), Sep 06 2002
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EXTENSIONS
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Edited by Matthew M. Conroy, Oct 21 2002
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