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 A235382 #36 Sep 08 2022 08:46:06 %S A235382 4,8,10,12,12,14,14,16,16,16,18,18,18,20,20,20,20,22,22,22,22,24,24, %T A235382 24,24,24,26,26,26,26,26,28,28,28,28,28,28,30,30,30,30,30,30,32,32,32, %U A235382 32,32,32,32,34,34,34,34,34,34,34,36,36,36,36,36 %N A235382 a(n) = smallest number of unit squares required to enclose n units of area. %C A235382 Result attributed to the students Daring, et al., in the links section. %H A235382 Charles R Greathouse IV, <a href="/A235382/b235382.txt">Table of n, a(n) for n = 0..10000</a> %H A235382 E. Daring, I. Guadarrama, S. Sprague, and C. Winterer, <a href="http://whaleconjecture.wordpress.com/">WhaleConjecture</a>. %H A235382 E. Daring, I. Guadarrama, S. Sprague, and C. Winterer, <a href="http://whaleconjecture.files.wordpress.com/2012/07/the-new-whale-conjecture-casey-edit-2.pdf">The Whale Theorem</a>. (PDF contains incomplete proof.) %H A235382 Kival Ngaokrajang, <a href="/A235382/a235382_1.pdf">Illustration of initial terms</a> %F A235382 a(n) = 2*ceiling(2*sqrt(n)) + 4. %F A235382 a(n) = A027709(n) + 4. %F A235382 a(n) = 2*A027434(n) + 4, n>0. %t A235382 Table[2 Ceiling[2 Sqrt[n]] + 4, {n, 0, 49}] (* _Michael De Vlieger_, Jul 21 2016 *) %o A235382 (PARI) a(n)=if(n,2*sqrtint(4*n-1)+6,4) \\ _Charles R Greathouse IV_, Jan 09 2014 %o A235382 (Magma) [2*Ceiling(2*Sqrt(n))+4: n in [0..70]]; // _Vincenzo Librandi_, Jul 27 2016 %o A235382 (Python) %o A235382 from math import isqrt %o A235382 def A235382(n): return 3+isqrt((n<<2)-1)<<1 if n else 4 # _Chai Wah Wu_, Jul 28 2022 %Y A235382 Cf. A027434, A027709, A232091. %K A235382 nonn,easy %O A235382 0,1 %A A235382 _L. Edson Jeffery_, Jan 08 2014