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%I #15 Jan 11 2017 18:25:55
%S 1,8,37,121,318,717,1446,2678,4639,7614,11955,18087,26516,37835,52732,
%T 71996,96525,127332,165553,212453,269434,338041,419970,517074,631371,
%U 765050,920479,1100211,1306992,1543767,1813688,2120120,2466649,2857088,3295485
%N Number of magic labelings with magic sum n of 2nd 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, Unpublished Notes, 1973 [Cached copy, with permission]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_07">Index entries for linear recurrences with constant coefficients</a>, signature (5, -9, 5, 5, -9, 5, -1).
%F G.f.: (1 + 3*x + 6*x^2 + 3*x^3 + x^4)/((1 - x)^6*(1 + x)).
%F a(n) = 7*n^5/120 + 7*n^4/16 + 35*n^3/24 + 21*n^2/8 + 149*n/60 + (-1)^n/32 + 31/32. [_Bruno Berselli_, Jul 08 2014]
%t Table[7 n^5/120 + 7 n^4/16 + 35 n^3/24 + 21 n^2/8 + 149 n/60 + (-1)^n/32 + 31/32, {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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