A107032 - OEIS

A107032

Belgian-8 numbers.

8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 26, 28, 31, 35, 40, 42, 43, 44, 48, 53, 62, 64, 71, 74, 75, 79, 80, 86, 88, 97, 100, 101, 102, 104, 105, 106, 108, 109, 110, 111, 112, 113, 115, 117, 118, 119, 120, 121, 123, 126, 129, 132, 135, 139, 141, 142, 144

(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@ 148, belgianQ[#, 8] &] (* Robert G. Wilson v, May 06 2011 *)

PROG

(Haskell)

a107032 n = a107032_list !! (n-1)

a107032_list = filter belge8 [8..] where

belge8 x = x == (head $ dropWhile (< x) $

scanl (+) 8 $ 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: A066004 A334938 A334928 * A031953 A043697 A043624