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A106518
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Belgian-2 numbers.
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13
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2, 10, 11, 12, 15, 16, 20, 22, 25, 26, 32, 38, 41, 42, 46, 67, 72, 82, 86, 91, 95, 100, 101, 102, 103, 105, 107, 110, 111, 112, 113, 115, 116, 120, 121, 122, 123, 124, 125, 130, 131, 132, 134, 136, 138, 141, 142, 143
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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belgianQ[n_, k_] := If[n < k, False, Block[{id = Join[{0}, IntegerDigits@ n]}, MemberQ[ Accumulate@ id, Mod[n - k, Plus @@ id]] ]]; Select[ Range@ 145, belgianQ[#, 2] &] (* Robert G. Wilson v, May 06 2011 *)
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PROG
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(Haskell)
a106518 n = a106518_list !! (n-1)
a106518_list = filter belge2 [2..] where
belge2 x = x == (head $ dropWhile (< x) $
scanl (+) 2 $ cycle (map (read . return) $ show x))
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CROSSREFS
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See A106039 for definition and link.
Belgian-k numbers, k=0..9: A106039, A106439, A106518, A106596, A106631, A106792, A107014, A107018, A107032, A107043.
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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