Voozh

A107018

Belgian-7 numbers.

7, 10, 11, 21, 27, 29, 31, 32, 37, 41, 56, 70, 71, 77, 85, 94, 100, 101, 103, 106, 110, 111, 112, 113, 117, 118, 119, 122, 127, 128, 131, 133, 143, 152, 173, 176, 201, 205, 207, 210, 211, 212, 213, 215, 216, 217, 218, 221, 225, 227, 231, 233, 234, 237, 243, 247

(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@ 206, belgianQ[#, 7] &] (* Robert G. Wilson v, May 06 2011 *)

PROG

(Haskell)

a107018 n = a107018_list !! (n-1)

a107018_list = filter belge7 [7..] where

belge7 x = x == (head $ dropWhile (< x) $

scanl (+) 7 $ 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: A274204 A306929 A105140 * A247868 A391970 A048792