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%I #15 May 08 2015 16:53:24
%S 8,10,11,12,13,14,15,16,17,18,19,20,22,23,26,28,31,35,40,42,43,44,48,
%T 53,62,64,71,74,75,79,80,86,88,97,100,101,102,104,105,106,108,109,110,
%U 111,112,113,115,117,118,119,120,121,123,126,129,132,135,139,141,142,144
%N Belgian-8 numbers.
%H Reinhard Zumkeller, <a href="/A107032/b107032.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@ 148, belgianQ[#, 8] &] (* _Robert G. Wilson v_, May 06 2011 *)
%o (Haskell)
%o a107032 n = a107032_list !! (n-1)
%o a107032_list = filter belge8 [8..] where
%o belge8 x = x == (head $ dropWhile (< x) $
%o scanl (+) 8 $ 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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