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 A027966 #16 Feb 04 2025 11:35:09 %S A027966 1,4,11,26,54,101,174,281,431,634,901,1244,1676,2211,2864,3651,4589, %T A027966 5696,6991,8494,10226,12209,14466,17021,19899,23126,26729,30736,35176, %U A027966 40079,45476,51399,57881,64956,72659,81026,90094,99901,110486,121889,134151,147314,161421,176516,192644 %N A027966 T(n, 2*n-4), T given by A027960. %H A027966 G. C. Greubel, <a href="/A027966/b027966.txt">Table of n, a(n) for n = 2..1000</a> %H A027966 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A027966 From _Ralf Stephan_, Feb 07 2004: (Start) %F A027966 G.f.: x^2*(1 - x + x^2 + x^3 - x^4)/(1-x)^5. %F A027966 Differences of A027967. (End) %F A027966 From _G. C. Greubel_, Jun 30 2019: (Start) %F A027966 a(n) = (n^4 + 2*n^3 - 25*n^2 + 94*n - 96)/24. %F A027966 E.g.f.: (96 +24*x - (96 - 72*x + 12*x^2 - 8*x^3 - x^4)*exp(x))/24. (End) %t A027966 LinearRecurrence[{5,-10,10,-5,1}, {1,4,11,26,54}, 50] (* _G. C. Greubel_, Jun 30 2019 *) %o A027966 (PARI) vector(50, n, n++; (n^4+2*n^3-25*n^2+94*n-96)/24) \\ _G. C. Greubel_, Jun 30 2019 %o A027966 (Magma) [(n^4+2*n^3-25*n^2+94*n-96)/24: n in [2..50]]; // _G. C. Greubel_, Jun 30 2019 %o A027966 (Sage) [(n^4+2*n^3-25*n^2+94*n-96)/24 for n in (2..50)] # _G. C. Greubel_, Jun 30 2019 %o A027966 (GAP) List([2..50], n-> (n^4+2*n^3-25*n^2+94*n-96)/24); # _G. C. Greubel_, Jun 30 2019 %Y A027966 A column of triangle A026998. %K A027966 nonn,easy %O A027966 2,2 %A A027966 _Clark Kimberling_ %E A027966 Terms a(31) onward added by _G. C. Greubel_, Jun 30 2019