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 A366817 #28 Feb 16 2025 08:34:06
%S A366817 64,298,752,1476,2520,3934,5768,8072,10896,14290,18304,22988,28392,
%T A366817 34566,41560,49424,58208,67962,78736,90580,103544,117678,133032,
%U A366817 149656,167600,186914,207648,229852,253576,278870,305784,334368,364672,396746,430640
%N A366817 Detour index of n body-centered cubic grid unit cells in a row.
%H A366817 Paolo Xausa, <a href="/A366817/b366817.txt">Table of n, a(n) for n = 1..10000</a>
%H A366817 Benedek Nagy and H. Mujahed, <a href="https://doi.org/10.7546/crabs.2021.11.01">Detour index for body-centred cubic grid with unit cells connected in a row</a>, Comptes Rendus de l'Académie Bulgare des Sciences, 74(11), 1581-1589 (2021).
%H A366817 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DetourIndex.html">Detour Index</a>
%H A366817 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A366817 a(n) = (25*n^3 + 180*n^2 - 13*n)/3.
%F A366817 From _Stefano Spezia_, May 28 2024: (Start)
%F A366817 G.f.: 2*x*(32 + 21*x - 28*x^2)/(1 - x)^4.
%F A366817 E.g.f.: exp(x)*x*(192 + 255*x + 25*x^2)/3. (End)
%t A366817 A366817[n_] := (25*n^3 + 180*n^2 - 13*n)/3; Array[A366817, 50] (* or *)
%t A366817 LinearRecurrence[{4, -6, 4, -1}, {64, 298, 752, 1476}, 50] (* _Paolo Xausa_, May 28 2024 *)
%o A366817 (PARI) a(n) = (25*n^3 + 180*n^2 - 13*n)/3 \\ _Andrew Howroyd_, Oct 24 2023
%Y A366817 Cf. A273321, A302351, A007290, A032091, A115269, A001386.
%K A366817 nonn,easy
%O A366817 1,1
%A A366817 _Benedek Nagy_, Oct 24 2023