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%I #13 Jan 11 2017 18:24:58
%S 1,10,55,217,672,1755,4030,8386,16135,29140,49941,81915,129430,198037,
%T 294652,427780,607725,846846,1159795,1563805,2078956,2728495,3539130,
%U 4541382,5769907,7263880,9067345,11229631,13805730,16856745,20450296,24661000,29570905
%N Number of magic labelings with magic sum n of 3rd graph shown in link.
%H N. J. A. Sloane, <a href="/A244869/a244869.jpg">Graphs for A244869-A244876.</a>
%H R. P. Stanley, <a href="/A002721/a002721.pdf">Examples of Magic Labelings</a>, Unpublished Notes, 1973 [Cached copy, with permission]
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (5, -8, 0, 14, -14, 0, 8, -5, 1).
%F G.f.: (1+5*x+13*x^2+22*x^3+13*x^4+5*x^5+x^6)/((1-x)^7*(1+x)^2).
%F a(n) = n^6/48 + 3*n^5/16 + 77*n^4/96 + 2*n^3 + 37*n^2/12 - n*(-1)^n/32 + 89*n/32 - 3*(-1)^n/64 + 67/64. [_Bruno Berselli_, Jul 08 2014]
%t Table[n^6/48 + 3 n^5/16 + 77 n^4/96 + 2 n^3 + 37 n^2/12 - n (-1)^n/32 + 89 n/32 - 3 (-1)^n/64 + 67/64, {n,0,40}] (* _Bruno Berselli_, Jul 08 2014 *)
%Y Cf. A244869-A244876.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Jul 08 2014
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