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A297148
Numbers whose base-10 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}.
3
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 100, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 122, 133, 144, 155, 166, 177, 188, 199, 200, 211, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 233, 244, 255, 266, 277, 288, 299, 300
OFFSET
1,2
COMMENTS
These numbers comprise the complement of the set of numbers in the union of A297146 and A297147.
Differs from A044821 first for 1001, which is in this sequence but not in A044821. - R. J. Mathar, Jan 17 2018
EXAMPLE
Base-10 digits of 65536: 6,5,5,3,6, so that 65536 is in the sequence.
MAPLE
read("transforms") :
isA297148 := proc(n)
local dgs, ud;
dgs := convert(n, base, 10) ;
if nops(dgs) < 2 then
return true;
end if;
if 0 in DIFF(dgs) then
true;
else
false;
end if;
end proc:
for n from 1 to 300 do
if isA297148(n) then
printf("%d, ", n) ;
end if;
end do: # R. J. Mathar, Jan 18 2018
MATHEMATICA
a[n_, b_] := Sign[Differences[IntegerDigits[n, b]]]; z = 300;
b = 10; t = Table[a[n, b], {n, 1, 10*z}];
u = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == 1 &] (* A297146 *)
v = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == -1 &] (* A297147 *)
Complement[Range[z], Union[u, v]] (* A297148 *)
CROSSREFS
Sequence in context: A306273 A141033 A044821 * A048307 A043713 A296712
KEYWORD
nonn,easy,base
AUTHOR
Clark Kimberling, Jan 15 2018
STATUS
approved