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 A255966 Numbers n such that each decimal digit of n is equal to the difference of at least two other digits of n. 4
 101, 110, 202, 220, 303, 330, 404, 440, 505, 550, 606, 660, 707, 770, 808, 880, 909, 990, 1001, 1010, 1011, 1100, 1101, 1110, 2002, 2020, 2022, 2200, 2202, 2220, 3003, 3030, 3033, 3300, 3303, 3330, 4004, 4040, 4044, 4400, 4404, 4440, 5005, 5050, 5055, 5500 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Let x(1)x(2)... x(q-1)x(q) denote the decimal expansion of a number n. The sequence lists the numbers n such that, for all index i, x(i) = x(j) - x(k) for some index j and k. The sequence is infinite because a(n)*10^m for all integers m is also in the sequence. All numbers of the sequence contain at least two identical decimal digits. a(n) contains at least one decimal digit equal to zero. The number 12345678909 is the smallest element of the sequence containing 10 distinct digits. The prime numbers of the sequence are 101, 10111, 10133, 10177,... The squares of the sequence are 59049, 60516, 91809, 130321,... LINKS Michel Lagneau, Table of n, a(n) for n = 1..10000 EXAMPLE 34707 is in the sequence because 3=7-4, 4=7-3,7=7-0 and 0=7-7. MAPLE with(numtheory): for n from 100 to 10000 do: x:=convert(n, base, 10):n1:=nops(x):c:=0:T:=array(1..n1-1): for nn from 1 to n1 do: z:=x[nn]: k:=0: for j from 1 to n1 do: if nn<>j then k:=k+1:T[k]:=x[j]: else fi: od: ii:=0: for a from 1 to n1-1 while(ii=0) do: for b from a+1 to n1-1 while(ii=0) do: if z=abs(T[a]-T[b]) then ii:=1:c:=c+1: else fi: od:od: od: if c=n1 then printf(`%d, `, n): else fi: od: CROSSREFS Cf. A255892, A255893, A255917. Sequence in context: A025349 A025341 A290725 * A305396 A266717 A303571 Adjacent sequences: A255963 A255964 A255965 * A255967 A255968 A255969 KEYWORD nonn,base AUTHOR Michel Lagneau, Mar 12 2015 EXTENSIONS Comments corrected by Harvey P. Dale, Oct 17 2021 STATUS approved

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Last modified February 5 08:15 EST 2023. Contains 360082 sequences. (Running on oeis4.)