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 A106631 Belgian-4 numbers. 13
 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)
 OFFSET 1,1 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 MATHEMATICA 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 *) PROG (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)) -- Reinhard Zumkeller, May 08 2015 CROSSREFS See A106039 for definition and link. Belgian-k numbers, k=0..9: A106039, A106439, A106518, A106596, A106631, A106792, A107014, A107018, A107032, A107043. Cf. A257770. Sequence in context: A240580 A102535 A074226 * A120261 A310338 A101154 Adjacent sequences:  A106628 A106629 A106630 * A106632 A106633 A106634 KEYWORD base,easy,nonn AUTHOR Eric Angelini, Jun 07 2005 EXTENSIONS Offset changed by Reinhard Zumkeller, May 08 2015 STATUS approved

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Last modified December 13 05:16 EST 2018. Contains 318082 sequences. (Running on oeis4.)