This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A257282 #14 Aug 11 2016 05:49:45
%S A257282 0,1,2,3,4,6,7,8,10,12,14,16,17,18,20,22,24,26,28,30,32,34,36,38,40,
%T A257282 41,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,
%U A257282 86,88,90,92,94,96,98,99,100,102,104,106,108,110,112,114,116
%N A257282 Numbers whose square is not the sum of two consecutive nonsquares.
%C A257282 See A256944 for further information.
%C A257282 Union of even integers and A001333. - _Ivan Neretin_, Aug 04 2016
%H A257282 Ivan Neretin, <a href="/A257282/b257282.txt">Table of n, a(n) for n = 1..10001</a>
%F A257282 a(n) = sqrt(A256944).
%F A257282 a(n) ~ 2n. [Following _Charles R Greathouse IV_'s formula for A256944.]
%e A257282 5 is not in the sequence because 5^2 = 25 = 12 + 13 is the sum of two consecutive numbers both of which are not squares.
%e A257282 All even numbers are in the sequence because (2k)^2 = 4k^2 cannot be written as sum of two consecutive numbers and 2k^2 is not a square.
%e A257282 An odd number n is in the sequence if one of the two numbers next to n^2/2 is a square.
%t A257282 Union[#, Range[0, Max@ #, 2]] &@ Numerator[Convergents[Sqrt@ 2, 7]] (* _Michael De Vlieger_, Aug 06 2016, after _Harvey P. Dale_ at A001333 *)
%o A257282 (PARI) is(n)={n%2==0 || issquare(n^2\2) || issquare(n^2\2+1)}
%Y A257282 Cf. A256944.
%K A257282 nonn,easy
%O A257282 1,3
%A A257282 _M. F. Hasler_, May 08 2015