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 A263946 #11 Feb 05 2019 13:38:28 %S A263946 26,2626,132522,6624722,331104826,16548617826,827099787722, %T A263946 41338440769522,2066094938689626,103263408493713026, %U A263946 5161104329746962922,257951953078854434322,12892436549612974754426,644363875527569883288226,32205301339828881189658122 %N A263946 Positive integers n such that (n+52)^3 - n^3 is a square. %H A263946 Colin Barker, <a href="/A263946/b263946.txt">Table of n, a(n) for n = 1..588</a> %H A263946 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (51,-51,1). %F A263946 a(n) = 51*a(n-1)-51*a(n-2)+a(n-3) for n>3. %F A263946 G.f.: 26*x*(3*x^2-50*x-1) / ((x-1)*(x^2-50*x+1)). %F A263946 a(n) = 26*(-6-(6+sqrt(39))*(25+4*sqrt(39))^(-n)+(-6+sqrt(39))*(25+4*sqrt(39))^n)/6. - _Colin Barker_, Mar 03 2016 %e A263946 26 is in the sequence because (26+52)^3 - 26^3 = 676^2. %t A263946 LinearRecurrence[{51,-51,1},{26,2626,132522},20] (* _Harvey P. Dale_, Feb 05 2019 *) %o A263946 (PARI) Vec(26*x*(3*x^2-50*x-1)/((x-1)*(x^2-50*x+1)) + O(x^30)) %Y A263946 Cf. A263942 (4), A263943 (21), A263944 (28), A263945 (39), A263947 (57), A263948 (61), A263949 (84) where the parenthesized number is k in the expression (n+k)^3 - n^3. %K A263946 nonn,easy %O A263946 1,1 %A A263946 _Colin Barker_, Oct 30 2015