An antisquare number is a number of the form 
that fails to be a square
number for the two reasons that 
is odd and 
is a nonsquare (modulo 
).
The first few antisquare numbers are 6, 10, 15, 21, 22, 24, 26, 33, 35, 38, ... (OEIS A080255).
Antisquare Number
See also
Square Number, Squarefree, SquarefulExplore with Wolfram|Alpha
References
Sloane, N. J. A. Sequence A080255 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Antisquare NumberCite this as:
Weisstein, Eric W. "Antisquare Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AntisquareNumber.html