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}.

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

Links

Table of n, a(n) for n=1..57.

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

Cf. A297146, A297147.

Sequence in context: A306273 A141033 A044821 * A048307 A043713 A296712

Adjacent sequences: A297145 A297146 A297147 * A297149 A297150 A297151

Keyword

nonn,easy,base

Author

Clark Kimberling, Jan 15 2018

Status

approved