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A106631
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Belgian-4 numbers.
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13
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4, 10, 11, 13, 14, 20, 21, 22, 24, 25, 31, 32, 37, 40, 43, 44, 51, 54, 57, 64, 65, 76, 82, 84, 87, 89, 92, 98, 100, 101, 104, 110, 111, 112, 114, 116, 121, 122, 124, 125, 127, 128, 137, 140, 141, 142, 144, 145, 148, 149, 151, 154, 158, 172, 177, 191, 196
(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@ 199, belgianQ[#, 4] &] (* Robert G. Wilson v, May 06 2011 *)
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PROG
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(Haskell)
a106631 n = a106631_list !! (n-1)
a106631_list = filter belge4 [4..] where
belge4 x = x == (head $ dropWhile (< x) $
scanl (+) 4 $ 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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