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A107085
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Numbers n such that in decimal representation the largest digit is equal to the digital root.
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2
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 99, 100, 188, 189, 198, 200, 277, 278, 279, 287, 297, 300, 366, 367, 368, 369, 376, 386, 396, 400, 455, 456, 457, 458, 459, 465, 475, 485, 495, 500, 545, 546, 547, 548, 549, 554, 564, 574
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| A054055(a(n)) = A010888(a(n)).
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Digital Root
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EXAMPLE
| m=1177 -> 1+1+7+7=16 -> 1+6=7 = (largest digit of 1177), therefore 1177 is a term.
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MAPLE
| A107085 := proc(n) option remember: local k: if(n=1)then return 0:fi: for k from procname(n-1)+1 do if(max(op(convert(k, base, 10)))-1 = (k-1) mod 9)then return k: fi: od: end: seq(A107085(n), n=1..100); # Nathaniel Johnston, May 05 2011
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CROSSREFS
| Cf. A070958.
Sequence in context: A140665 A069024 A175396 * A032945 A052018 A202272
Adjacent sequences: A107082 A107083 A107084 * A107086 A107087 A107088
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KEYWORD
| nonn,easy,base
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AUTHOR
| Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be) and Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 11 2005
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