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 A254856 #10 Apr 30 2019 13:03:52 %S A254856 1,2,15,40,377,1026,9775,26624,253761,691186,6587999,17944200, %T A254856 171034201,465858002,4440301215,12094363840,115276797377,313987601826, %U A254856 2992756430575,8151583283624,77696390397561,211627177772386,2017113393905999,5494155038798400 %N A254856 Indices of centered heptagonal numbers (A069099) that are also octagonal numbers (A000567). %C A254856 Also positive integers y in the solutions to 6*x^2 - 7*y^2 - 4*x + 7*y - 2 = 0, the corresponding values of x being A254855. %H A254856 Colin Barker, <a href="/A254856/b254856.txt">Table of n, a(n) for n = 1..1000</a> %H A254856 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,26,-26,-1,1). %F A254856 a(n) = a(n-1)+26*a(n-2)-26*a(n-3)-a(n-4)+a(n-5). %F A254856 G.f.: x*(x^3+13*x^2-x-1) / ((x-1)*(x^4-26*x^2+1)). %e A254856 15 is in the sequence because the 15th centered heptagonal number is 736, which is also the 16th octagonal number. %t A254856 LinearRecurrence[{1,26,-26,-1,1},{1,2,15,40,377},30] (* _Harvey P. Dale_, Apr 30 2019 *) %o A254856 (PARI) Vec(x*(x^3+13*x^2-x-1)/((x-1)*(x^4-26*x^2+1)) + O(x^100)) %Y A254856 Cf. A000567, A069099, A254855, A254857. %K A254856 nonn,easy %O A254856 1,2 %A A254856 _Colin Barker_, Feb 08 2015