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A106792 Belgian-5 numbers. 13
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 (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@ 211, belgianQ[#, 5] &] (* Robert G. Wilson v, May 06 2011 *)

PROG

(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

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: A208541 A107975 A262665 * A232487 A243936 A257263

Adjacent sequences:  A106789 A106790 A106791 * A106793 A106794 A106795

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 January 20 06:37 EST 2019. Contains 319325 sequences. (Running on oeis4.)