A073727 Number of distinct-digit integers between squares.

2, 4, 5, 7, 9, 11, 13, 14, 16, 9, 18, 20, 21, 18, 20, 26, 26, 22, 30, 32, 28, 35, 29, 38, 33, 41, 36, 44, 38, 49, 23, 46, 7, 7, 46, 36, 42, 43, 48, 43, 51, 44, 46, 44, 56, 49, 1, 54, 55, 56, 57, 59, 60, 53, 60, 62, 35, 43, 68, 71, 64, 74, 67, 72, 66, 31, 73, 75, 75, 77, 79, 86

Offset

1,1

Comments

The number of distinct-digit integers is finite therefore the sequence contains only zeros after n=31427. The last nonzero terms are a(31420)=492, a(31421)=414, a(31422)=378, a(31423)=648, a(31424)=382, a(31425)=338, a(31426)=720 and a(31427)=0, a(31428)=0...

Links

Table of n, a(n) for n=1..72.

Example

a(10)=9 because between 10^2 and 11^2 there are 9 integers with distinct digits: 102, 103, 104, 105, 106, 107, 108, 109, 120.

Mathematica

Table[Length[Select[Table[n, {n, x^2+1, (x+1)^2-1}], Length[IntegerDigits[ # ]]==Length[Union[IntegerDigits[ # ]]]&]], {x, 31428}]

Crossrefs

Sequence in context: A301728 A005152 A060831 * A075692 A112235 A287175

Adjacent sequences: A073724 A073725 A073726 * A073728 A073729 A073730

Keyword

nonn,base

Author

Zak Seidov, Sep 01 2002

Status

approved