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%I #30 Nov 12 2020 05:16:53
%S 1,3,8,15,29,48,80,121,182,260,367,497,673,886,1158,1477,1875,2341,
%T 2913,3570,4355,5258,6323,7526,8933,10515,12338,14373,16697,19282,
%U 22214,25448,29084,33089,37561,42449,47885,53817,60370,67489,75316,83794,93084,103106
%N (Number of 4 X 4 pandiagonal magic squares with distinct positive entries less than n)/384.
%H L. Ng, <a href="http://math.sfsu.edu/beck/teach/masters/louis.pdf">Magic Counting with Inside-Out Polytopes</a>, San Francisco State University, 2018.
%F G.f.: x^17*(1 + x)*(1 + 2*x + 6*x^2 + 8*x^3 + 17*x^4 + 20*x^5 + 36*x^6 + 38*x^7 + 58*x^8 + 57*x^9 + 76*x^10 + 68*x^11 + 84*x^12 + 70*x^13 + 81*x^14 + 57*x^15 + 59*x^16 + 34*x^17 + 38*x^18 + 16*x^19 + 14*x^20)/((1 - x^3)*(1 - x^4)*(1 - x^6)*(1 - x^7)*(1 - x^8)*(1 - x^10)).
%K nonn
%O 17,2
%A _Louis Ng_, Aug 13 2018