A185028 Numbers of the base-10 form ddd...d having Hamming weight d.

1, 55, 555, 7777, 66666, 888888

Offset

1,2

Comments

Is 888888 the largest number in the sequence?

No more terms through 10^60000. - Robert G. Wilson v, Dec 24 2012

Links

Table of n, a(n) for n=1..6.

Michael Brand, Prove of Finiteness of A185028. Solution of March 2013 Issue of "Using your Head is Permitted" Riddles.

Example

555 = 1000101011_2 has five 1's.

Mathematica

fQ[n_] := {Count[ IntegerDigits[n, 2], 1]} == Union[ IntegerDigits@ n]; f[n_] := Select[((10^n - 1) Range[9]/9), fQ]; k = 1; lst = {}; While[k < 11, a = f[k]; If[a != {}, AppendTo[lst, a]]; k++]; lst // Flatten (* Robert G. Wilson v, Dec 24 2012 *)

Crossrefs

Sequence in context: A262103 A138053 A183320 * A222797 A180326 A119085

Adjacent sequences: A185025 A185026 A185027 * A185029 A185030 A185031

Keyword

nonn,base,fini,full

Author

Moshe Wolf, Dec 24 2012

Status

approved