A244289 Numbers n such that floor( n^(3/2) ) is a concatenation of two successive numbers.

20, 120, 132, 325, 2213, 4544, 5911, 7071, 7889, 8046, 8297, 9819, 59658, 60772, 64002, 71483, 80717, 95846, 101555, 104195, 109579, 113393, 119894, 130485, 142010, 152556, 152829, 159994, 166038, 168012, 191190, 193622, 201631, 205929, 1098933, 1106171

Offset

1,1

Links

Table of n, a(n) for n=1..36.

Example

132 is in the sequence because floor(132^(3/2)) = floor(1516.5645...) = 1516 is the concatenation of 15 and 16.

Mathematica

lst={}; Do[If[EvenQ[y=Length[x=IntegerDigits[Floor[n^1.5]]]]&&Differences[FromDigits/@Partition[x, y/2]]=={1}, AppendTo[lst, n]], {n, 5*10^4}]; lst

Crossrefs

Cf. A030467.

Sequence in context: A258667 A357042 A299965 * A293880 A121040 A044352

Adjacent sequences: A244286 A244287 A244288 * A244290 A244291 A244292

Keyword

nonn,base,less

Author

Michel Lagneau, Jun 27 2014

Status

approved