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 A030180 #17 Sep 08 2022 08:44:50 %S A030180 0,0,3,52,390,1860,6665,19608,49932,113880,238095,463980,853138, %T A030180 1494012,2509845,4068080,6391320,9769968,14576667,21282660,30476190, %U A030180 42883060,59389473,81067272,109201700,145321800,191233575,249056028,321260202,410711340,520714285 %N A030180 a(n) = (n^7 - n)/42. %H A030180 G. C. Greubel, <a href="/A030180/b030180.txt">Table of n, a(n) for n = 0..1000</a> %H A030180 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1). %F A030180 a(n) = A133499(n)/42. - _Michel Marcus_, Aug 30 2013 %F A030180 From _Stefano Spezia_, Dec 29 2019: (Start) %F A030180 O.g.f.: x^2*(3 + 28*x + 58*x^2 + 28*x^3 + 3*x^4)/(1 - x)^8. %F A030180 E.g.f.: (1/42)*exp(x)*x^2*(63 + 301*x + 350*x^2 + 140*x^3 + 21*x^4 + x^5). %F A030180 (End) %p A030180 seq( (n^7-n)/42, n=0..35); # _G. C. Greubel_, Dec 28 2019 %t A030180 Table[(n^7-n)/42, {n,0,35}] (* _G. C. Greubel_, Dec 28 2019 *) %t A030180 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{0,0,3,52,390,1860,6665,19608},40] (* _Harvey P. Dale_, May 14 2022 *) %o A030180 (PARI) a(n) = (n^7-n)/42; \\ _Michel Marcus_, Aug 30 2013 %o A030180 (Magma) [(n^7-n)/42: n in [0..35]]; // _G. C. Greubel_, Dec 28 2019 %o A030180 (Sage) [(n^7-n)/42 for n in (0..35)] # _G. C. Greubel_, Dec 28 2019 %o A030180 (GAP) List([0..35], n-> (n^7-n)/42); # _G. C. Greubel_, Dec 28 2019 %Y A030180 Cf. A133499 (n^7-n). %K A030180 nonn %O A030180 0,3 %A A030180 Charlton Harrison (charlton(AT)bach.dynet.com)