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A106439
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Belgian-1 numbers.
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13
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1, 10, 11, 13, 16, 17, 21, 23, 41, 43, 56, 58, 74, 81, 91, 97, 100, 101, 106, 110, 111, 113, 115, 121, 122, 130, 131, 137, 142, 155, 157, 161, 170, 171, 172, 178, 179, 181, 184, 188, 193, 201
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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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@ 202, belgianQ[#, 1] &] (* Robert G. Wilson v, May 06 2011 *)
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PROG
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(Haskell)
a106439 n = a106439_list !! (n-1)
a106439_list = filter belge1 [1..] where
belge1 x = x == (head $ dropWhile (< x) $
scanl (+) 1 $ 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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STATUS
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approved
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