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A107032
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Belgian-8 numbers.
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13
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8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 26, 28, 31, 35, 40, 42, 43, 44, 48, 53, 62, 64, 71, 74, 75, 79, 80, 86, 88, 97, 100, 101, 102, 104, 105, 106, 108, 109, 110, 111, 112, 113, 115, 117, 118, 119, 120, 121, 123, 126, 129, 132, 135, 139, 141, 142, 144
(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@ 148, belgianQ[#, 8] &] (* Robert G. Wilson v, May 06 2011 *)
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PROG
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(Haskell)
a107032 n = a107032_list !! (n-1)
a107032_list = filter belge8 [8..] where
belge8 x = x == (head $ dropWhile (< x) $
scanl (+) 8 $ 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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