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A297136
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Numbers whose base-6 digits d(m), d(m-1), ..., d(0) have m=0 or else d(i) = d(i+1) for some i in {0,1,...,m-1}.
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4
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1, 2, 3, 4, 5, 7, 14, 21, 28, 35, 36, 42, 43, 44, 45, 46, 47, 50, 57, 64, 71, 72, 79, 84, 85, 86, 87, 88, 89, 93, 100, 107, 108, 115, 122, 126, 127, 128, 129, 130, 131, 136, 143, 144, 151, 158, 165, 168, 169, 170, 171, 172, 173, 179, 180, 187, 194, 201, 208
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OFFSET
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1,2
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COMMENTS
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These numbers comprise the complement of the set of numbers in the union of A297134 and A297135.
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LINKS
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EXAMPLE
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Base-6 digits of 4996: 3,5,0,4,4, so that 4996 is in the sequence.
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MAPLE
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filter:= proc(n) local L;
L:= convert(n, base, 6);
nops(L)=1 or member(0, L[2..-1]-L[1..-2])
end proc:
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MATHEMATICA
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a[n_, b_] := Sign[Differences[IntegerDigits[n, b]]]; z = 300;
b = 6; t = Table[a[n, b], {n, 1, 10*z}];
u = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == 1 &] (* A297134 *)
v = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == -1 &] (* A297135 *)
Complement[Range[z], Union[u, v]] (* A297136 *)
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CROSSREFS
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KEYWORD
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nonn,easy,base
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AUTHOR
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STATUS
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approved
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