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%I #15 May 08 2015 16:50:26
%S 3,10,11,12,14,15,21,23,30,31,33,34,35,39,47,51,52,59,63,69,73,75,78,
%T 94,100,101,102,103,104,105,107,110,111,112,113,115,116,120,123,133,
%U 141,146,147,151,153,154,158,159,163,164,166,168,183,185,191,196
%N Belgian-3 numbers.
%H Reinhard Zumkeller, <a href="/A106596/b106596.txt">Table of n, a(n) for n = 1..10000</a>
%t belgianQ[n_, k_] := If[n < k, False, Block[{id = Join[{0}, IntegerDigits@ n]}, MemberQ[ Accumulate@ id, Mod[n - k, Plus @@ id]] ]]; Select[ Range@ 200, belgianQ[#, 3] &] (* _Robert G. Wilson v_, May 06 2011 *)
%o (Haskell)
%o a106596 n = a106596_list !! (n-1)
%o a106596_list = filter belge3 [3..] where
%o belge3 x = x == (head $ dropWhile (< x) $
%o scanl (+) 3 $ cycle (map (read . return) $ show x))
%o -- _Reinhard Zumkeller_, May 08 2015
%Y See A106039 for definition and link.
%Y Belgian-k numbers, k=0..9: A106039, A106439, A106518, A106596, A106631, A106792, A107014, A107018, A107032, A107043.
%Y Cf. A257770.
%K base,easy,nonn
%O 1,1
%A _Eric Angelini_, Jun 07 2005
%E Offset changed by _Reinhard Zumkeller_, May 08 2015
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