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 A342362 #15 Mar 09 2021 10:01:19 %S A342362 1,10,31,76,145,254,399,600,849,1170,1551,2020,2561,3206,3935,4784, %T A342362 5729,6810,7999,9340,10801,12430,14191,16136,18225,20514,22959,25620, %U A342362 28449,31510,34751,38240,41921,45866,50015,54444,59089,64030,69199,74680,80401,86450,92751,99396,106305,113574 %N A342362 Expansion of the o.g.f. (1 + 8*x + 10*x^2 + 8*x^3 + x^4)/((1 - x)^4*(1 + x)^2). %C A342362 Antidiagonal sums of square array A342354. %H A342362 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,1,-4,1,2,-1). %F A342362 a(n) = (n + 1)/4*(5 - (-1)^n) - 7*binomial(n + 2, 2) + 7*binomial(n + 3, 3). %F A342362 a(n) = (n + 1)*(14*(n + 1)^2 - 3*(-1)^n + 1)/12. - _Bruno Berselli_, Mar 09 2021 %o A342362 (Julia) [div((n + 1)*(14*(n + 1)^2 - 3*(-1)^n + 1),12) for n in 0:50] |> println # _Bruno Berselli_, Mar 09 2021 %Y A342362 Cf. A342354. %K A342362 nonn,easy %O A342362 0,2 %A A342362 _Petros Hadjicostas_, Mar 09 2021