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A106039 Belgian-0 numbers. 11
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 18, 20, 21, 22, 24, 26, 27, 30, 31, 33, 35, 36, 39, 40, 42, 44, 45, 48, 50, 53, 54, 55, 60, 62, 63, 66, 70, 71, 72, 77, 80, 81, 84, 88, 90, 93, 99, 100, 101, 102, 106, 108, 110, 111, 112, 114, 117, 120 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

176 is a Belgian-0 number because, starting from 0 (the seed), one can build a sequence containing 176 in this way:

0.1.8.14.15.22.28.29.36.42.43.50.....155.162.168.169.176.... (sequence)

.1.7.6..1..7..6..1..7..6..1..7..........7...6...1...7.. (first differences)

LINKS

E. Angelini, Eric numbers.

MATHEMATICA

fQ[n_, k_] := If[n < k, False, Block[{id = Join[{0}, IntegerDigits@ n]}, MemberQ[ Accumulate@ id, Mod[n - k, Plus @@ id]] ]]; Select[ Range@ 120, fQ[#, 0] &] (* Robert G. Wilson v, May 6 2011 *)

CROSSREFS

Sequence in context: A114522 A053432 A154125 * A151767 A173899 A108897

Adjacent sequences:  A106036 A106037 A106038 * A106040 A106041 A106042

KEYWORD

base,easy,nonn

AUTHOR

Eric Angelini (eric.angelini(AT)kntv.be), Jun 07 2005

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Last modified February 13 05:58 EST 2012. Contains 205436 sequences.