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 A292281 #27 Mar 09 2025 11:33:33
%S A292281 1,20,167,867,3322,10309,27410,64770,139479,278674,523457,933725,
%T A292281 1594008,2620411,4168756,6444020,9711165,14307456,20656363,29283143,
%U A292281 40832198,56086305,75987814,101661910,134442035,175897566,227863845,292474657,372197252,469870007,588742824
%N A292281 Number of magic labelings of the prism graph I X C_6 having magic sum n.
%H A292281 R. P. Stanley, <a href="/A002721/a002721.pdf">Examples of Magic Labelings</a>, Unpublished Notes, 1973. [Cached copy, with permission]
%H A292281 <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 A292281 a(n) = A244879(n) + 2*Sum_{i=0..n-1} A244879(i).
%F A292281 From _Colin Barker_, Sep 13 2017: (Start)
%F A292281 G.f.: (1 + x)*(1 + 11*x + 24*x^2 + 11*x^3 + x^4) / (1 - x)^8.
%F A292281 a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>7.
%F A292281 (End)
%F A292281 [Proof of the g.f. follows from the g.f. of A244879 with the resummation demonstrated in A289992: g.f. = A244879(x)*(1+2*x/(1-x)). - _R. J. Mathar_, Mar 09 2025]
%t A292281 f[n_] := SeriesCoefficient[(1 + 11 x + 24 x^2 + 11 x^3 + x^4)/(1 - x)^7, {x, 0, n}]; Table[f[n] + 2 Sum[f[i], {i, 0, n - 1}], {n, 0, 24}] (* _Michael De Vlieger_, Sep 15 2017 *)
%Y A292281 Cf. A019298, A061927, A244497, A244879, A244873, A289992.
%K A292281 nonn,easy
%O A292281 0,2
%A A292281 _David J. Seal_, Sep 13 2017