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A107014 Belgian-6 numbers. 13
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 (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@ 159, belgianQ[#, 6] &] (* Robert G. Wilson v, May 06 2011 *)

PROG

(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

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: A284238 A284302 A284350 * A206036 A132628 A288928

Adjacent sequences:  A107011 A107012 A107013 * A107015 A107016 A107017

KEYWORD

base,easy,nonn

AUTHOR

Eric Angelini, Jun 07 2005

EXTENSIONS

Offset changed by Reinhard Zumkeller, May 08 2015

STATUS

approved

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Last modified October 16 13:51 EDT 2019. Contains 328093 sequences. (Running on oeis4.)