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 A273927 #5 Jun 12 2016 02:35:18 %S A273927 1,3,1,8,2,9,15,37,17,25,4,19,44,20,9,40,54,19,18,57,71,28,17,64,104, %T A273927 53,217,55,112,100,39,24,89,156,106,35,38,113,190,128,47,36,121,208, %U A273927 172,81,12,107,204,244,143,40,65,172,281,239,126,11,106,225,346 %N A273927 Absolute difference between A000290(n) and the nearest term of A000578. %C A273927 Marshall Hall, Jr. conjectured that there exists a constant c > 0 such that for any integers x and y with y^2 != x^3 the relation abs(y^2 - x^3) > c*sqrt(abs(x)) holds. %H A273927 Wikipedia, <a href="http://en.wikipedia.org/wiki/Hall%27s_conjecture">Hall's conjecture</a>. %o A273927 (PARI) nearestcube(n) = my(x=n-1, y=n+1); while(!ispower(x, 3) && !ispower(y, 3), x--; y++); if(ispower(x, 3), return(x)); if(ispower(y, 3), return(y)) %o A273927 a(n) = abs(n^2 - nearestcube(n^2)) %Y A273927 Cf. A078933, A199496, A199497, A199498. %K A273927 nonn %O A273927 1,2 %A A273927 _Felix Fröhlich_, Jun 04 2016