A158037 A106044 sorted and duplicates removed.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Mar 11 2009

Keywords

• nonn

Comments

All natural numbers except squares, 3^2=9, 4^2=16, 5^2=25, 6^2=36, 7^2=49, 8^2=64, ... are missing from the current sequence.

Crossrefs

Cf. A106044, A104492, A056892

Programs

Mathematica

lst={};Do[p=Prime[n];s=p^(1/2);f=Floor[s];a=(f+1)^2;d=a-p;AppendTo[lst,d],{n,7!}];Take[Union[lst],5! ]
(Floor[Sqrt[#]]+1)^2-#&/@Prime[Range[500]]//Union (* Harvey P. Dale, Aug 02 2021 *)