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 A341735 #17 Mar 08 2021 12:30:51 %S A341735 0,1,11,50,154,375,781,1456,2500,4029,6175,9086,12926,17875,24129, %T A341735 31900,41416,52921,66675,82954,102050,124271,149941,179400,213004, %U A341735 251125,294151,342486,396550,456779,523625,597556,679056,768625,866779,974050,1090986,1218151,1356125 %N A341735 a(n) = A007678(2*n+1). %H A341735 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A341735 From _Bruno Berselli_, Mar 08 2021: (Start) %F A341735 G.f.: x*(1 + 6*x + 5*x^2 + 4*x^3)/(1 - x)^5. %F A341735 a(n) = n*(2*n - 1)*(2*n^2 - n + 5)/6. (End) %t A341735 Table[n (2 n - 1) (2 n^2 - n + 5)/6, {n, 0, 40}] (* _Bruno Berselli_, Mar 08 2021 *) %o A341735 (Julia) [div(n*(2*n-1)*(2*n^2-n+5), 6) for n in 0:40] |> println # _Bruno Berselli_, Mar 08 2021 %Y A341735 Cf. A007678. %Y A341735 See A341734 for the other bisection (rescaled). %K A341735 nonn,easy %O A341735 0,3 %A A341735 _Scott R. Shannon_ and _N. J. A. Sloane_, Mar 07 2021 %E A341735 More terms from _Bruno Berselli_, Mar 08 2021