A106792 Belgian-5 numbers.

5, 10, 11, 12, 13, 29, 38, 45, 50, 52, 53, 55, 61, 100, 101, 102, 110, 111, 114, 120, 121, 124, 125, 130, 131, 132, 134, 135, 136, 137, 138, 139, 140, 145, 148, 150, 151, 160, 174, 175, 182, 186, 191, 195, 211

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

a106792 n = a106792_list !! (n-1)
a106792_list = filter belge5 [5..] where
   belge5 x = x == (head $ dropWhile (< x) $
                    scanl (+) 5 $ 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@ 211, belgianQ[#, 5] &] (* Robert G. Wilson v, May 06 2011 *)

Extensions

Offset changed by Reinhard Zumkeller, May 08 2015