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A043095
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Numbers with property that no two consecutive base 9 digits are equal.
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4
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 82
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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LINKS
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MAPLE
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isA043095 := proc(n)
dgs := convert(n, base, 9) ;
for i from 2 to nops(dgs) do
if op(i, dgs) = op(i-1, dgs) then
return false;
end if;
end do:
true ;
end proc:
option remember;
if n =1 then
0;
else
for a from procname(n-1)+1 do
if isA043095(a) then
return a;
end if;
end do;
end if;
end proc:
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MATHEMATICA
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Select[Range[0, 100], !MemberQ[Flatten[Differences/@Partition[ IntegerDigits[ #, 9], 2, 1]], 0]&] (* Harvey P. Dale, Apr 05 2014 *)
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PROG
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(PARI) isok(n) = {my(d = digits(n, 9)); for (i=2, #d, if (d[i] == d[i-1], return (0)); ); return (1); } \\ Michel Marcus, Oct 11 2017
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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