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Search: id:A152824
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| A152824 |
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Numbers such that each digit leaves the same nonzero remainder when each is divided into the number. |
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+0 4
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| 223, 289, 337, 379, 433, 469, 477, 649, 673, 2227, 2233, 2263, 2269, 2323, 2437, 2449, 2623, 2629, 2773, 2833, 3223, 3277, 3349, 3433, 3493, 3889, 4249, 4333, 4393, 4429, 4633, 4873, 4933, 4969, 6223, 6229, 6433, 6637, 6679, 6763, 6949, 7267, 7477, 7939
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Joshua Zucker, Table of n, a(n) for n = 1..1543
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EXAMPLE
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289 == 1 (mod 2) == 1 (mod 8) == 1 (mod 9), so 289 is a member.
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MATHEMATICA
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fQ[n_] := Block[{a = Union@ Mod[n, IntegerDigits@n]}, a != {0} && Length@ a == 1]; Select[Range@ 4248, fQ@# &] (Robert G. Wilson v)
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CROSSREFS
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Sequence in context: A100607 A092623 A098591 this_sequence A142386 A102950 A143801
Adjacent sequences: A152821 A152822 A152823 this_sequence A152825 A152826 A152827
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KEYWORD
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nonn,base
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AUTHOR
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J. M. Bergot (thekingfishb(AT)yahoo.ca), Dec 13 2008
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EXTENSIONS
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Corrected and extended by Joshua Zucker and Robert G. Wilson v, Dec 14 2008
Corrected and extended by Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Dec 14 2008
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