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 A027965 #13 Oct 18 2022 15:01:41 %S A027965 3,7,15,28,47,73,107,150,203,267,343,432,535,653,787,938,1107,1295, %T A027965 1503,1732,1983,2257,2555,2878,3227,3603,4007,4440,4903,5397,5923, %U A027965 6482,7075,7703,8367,9068,9807,10585,11403,12262,13163,14107,15095,16128,17207,18333,19507,20730,22003 %N A027965 T(n, 2*n-3), T given by A027960. %H A027965 G. C. Greubel, <a href="/A027965/b027965.txt">Table of n, a(n) for n = 2..1000</a> %H A027965 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A027965 a(n+2) = A074742(n-1) = A008778(n) + 2 = A000297(n-1) + 3. %F A027965 From _Ralf Stephan_, Feb 07 2004: (Start) %F A027965 G.f.: x^2*(3 - 2*x)*(1 - x + x^2)/(1-x)^4. %F A027965 Differences of A027966. (End) %F A027965 From _G. C. Greubel_, Jun 30 2019: (Start) %F A027965 a(n) = (18 - 10*n + 3*n^2 + n^3)/6. %F A027965 E.g.f.: (-18 - 12*x + (18 - 6*x + 6*x^2 + x^3)*exp(x))/6. (End) %t A027965 LinearRecurrence[{4,-6,4,-1}, {3,7,15,28}, 50] (* _G. C. Greubel_, Jun 30 2019 *) %o A027965 (PARI) vector(50, n, n++; (18-10*n+3*n^2+n^3)/6) \\ _G. C. Greubel_, Jun 30 2019 %o A027965 (Magma) [(18-10*n+3*n^2+n^3)/6: n in [2..50]]; // _G. C. Greubel_, Jun 30 2019 %o A027965 (Sage) [(18-10*n+3*n^2+n^3)/6 for n in (2..50)] # _G. C. Greubel_, Jun 30 2019 %o A027965 (GAP) List([2..50], n-> (18-10*n+3*n^2+n^3)/6) # _G. C. Greubel_, Jun 30 2019 %Y A027965 A column of triangle A027011. %K A027965 nonn,easy %O A027965 2,1 %A A027965 _Clark Kimberling_ %E A027965 Terms a(32) onward added by _G. C. Greubel_, Jun 30 2019