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A106792
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Belgian-5 numbers.
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13
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5, 10, 11, 12, 13, 29, 38, 45, 50, 52, 53, 55, 61, 100, 101, 102, 110, 111, 114, 120, 121, 124, 125, 130, 131, 132, 134, 135, 136, 137, 138, 139, 140, 145, 148, 150, 151, 160, 174, 175, 182, 186, 191, 195, 211
(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@ 211, belgianQ[#, 5] &] (* Robert G. Wilson v, May 06 2011 *)
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PROG
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(Haskell)
a106792 n = a106792_list !! (n-1)
a106792_list = filter belge5 [5..] where
belge5 x = x == (head $ dropWhile (< x) $
scanl (+) 5 $ 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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