A106518 Belgian-2 numbers.

2, 10, 11, 12, 15, 16, 20, 22, 25, 26, 32, 38, 41, 42, 46, 67, 72, 82, 86, 91, 95, 100, 101, 102, 103, 105, 107, 110, 111, 112, 113, 115, 116, 120, 121, 122, 123, 124, 125, 130, 131, 132, 134, 136, 138, 141, 142, 143

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

a106518 n = a106518_list !! (n-1)
a106518_list = filter belge2 [2..] where
   belge2 x = x == (head $ dropWhile (< x) $
                    scanl (+) 2 $ 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@ 145, belgianQ[#, 2] &] (* Robert G. Wilson v, May 06 2011 *)

Extensions

Offset changed by Reinhard Zumkeller, May 08 2015