A107014 Belgian-6 numbers.

6, 10, 11, 12, 20, 21, 22, 23, 24, 28, 30, 33, 34, 36, 41, 42, 46, 49, 58, 60, 61, 62, 66, 68, 73, 83, 92, 96, 100, 101, 102, 103, 110, 111, 112, 113, 114, 118, 120, 121, 122, 123, 126, 127, 128, 129, 130, 131, 132, 133, 134, 136, 138, 143, 150, 155, 156

Offset: 1

Author

Eric Angelini, Jun 07 2005

Keywords

• base
• easy
• nonn

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

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.

Programs

Haskell

a107014 n = a107014_list !! (n-1)
a107014_list = filter belge6 [6..] where
   belge6 x = x == (head $ dropWhile (< x) $
                    scanl (+) 6 $ cycle (map (read . return) $ show x))
-- Reinhard Zumkeller, May 08 2015

Mathematica

belgianQ[n_, k_] := If[n < k, False, Block[{id = Join[{0}, IntegerDigits@ n]}, MemberQ[ Accumulate@ id, Mod[n - k, Plus @@ id]] ]]; Select[ Range@ 159, belgianQ[#, 6] &] (* Robert G. Wilson v, May 06 2011 *)

Extensions

Offset changed by Reinhard Zumkeller, May 08 2015