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Flatten[Array[{1,Table[2,2#+1]If[#==1||(d=NumberQ@*Sqrt)@#||d[#+1],1}&,#,0]][[#]]&2]&
Try it online! returns 1 if n=1 or n is a perfect square or n+1 is a perfect square
Try it online!
Flatten[Array[{1,Table[2,2#+1],1}&,#,0]][[#]]&
If[#==1||(d=NumberQ@*Sqrt)@#||d[#+1],1,2]&
returns 1 if n=1 or n is a perfect square or n+1 is a perfect square
