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 A253203 #27 Nov 12 2024 21:10:04 %S A253203 9,4,9,16,9,16,9,16,25,16,25,16,25,16,25,36,25,36,25,36,25,36,25,36, %T A253203 49,36,49,36,49,36,49,36,49,36,49,64,49,64,49,64,49,64,49,64,49,64,49, %U A253203 64,81,64,81,64,81,64,81,64,81,64,81,64,81,64,81,100,81,100,81,100,81,100,81,100,81,100,81,100,81,100,81,100 %N A253203 The least square larger than n with same parity as n. %F A253203 a(n) = A256244(n)^2 = n + 2*A256243(n). %e A253203 9 is the least odd square > 1; %e A253203 4 is the least even square > 2; %e A253203 9 is the least odd square > 3. %t A253203 f[n_] := Block[{s = If[n == 1, Range[3]^2, Range[2 Ceiling@ Sqrt@ n]^2]}, If[EvenQ@ n, SelectFirst[s, EvenQ@ # && # > n &], SelectFirst[s, OddQ@ # && # > n &]]]; Array[f, 120] (* _Michael De Vlieger_, Mar 25 2015 *) %o A253203 (Sage) %o A253203 A = [] %o A253203 for i in [1..100]: %o A253203 for y in [1..100]: %o A253203 x = y**2 %o A253203 if x>i and (x-i)%2==0: %o A253203 A.append(x) %o A253203 break %o A253203 A %Y A253203 Cf. A256243, A256244. %K A253203 nonn,easy %O A253203 1,1 %A A253203 _Tom Edgar_ and _Zak Seidov_, Mar 25 2015