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A318629 Number of 8-member subsets of [8*n] whose elements sum to a multiple of n. 2

%I #6 Aug 30 2018 23:15:59

%S 0,1,6470,245157,2630044,15380937,62893270,202927725,553275192,

%T 1329890705,2898762854,5843355957,11050100956,19813501785,33963673590,

%U 56017460733,89356455544,138432467745,209004466054,308406729925,445853163548,632776453353,883208213270

%N Number of 8-member subsets of [8*n] whose elements sum to a multiple of n.

%H Alois P. Heinz, <a href="/A318629/b318629.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4,-4,11,-8,0,8,-10,0,8,0,-10,8,0,-8,11,-4,-4,4,-1).

%F G.f.: x*(8*x^19 +6403*x^18 +219614*x^17 +1674059*x^16 +5870564*x^15 +12792670*x^14 +20763588*x^13 +27678950*x^12 +31887236*x^11 +33320524*x^10 +33336672*x^9 +31872212*x^8 +27691884*x^7 +20753602*x^6 +12799164*x^5 +5867258*x^4 +1675300*x^3 +219281*x^2 +6466*x+1) / ((x^4+1) *(x^2+1)^2 *(x+1)^4 *(x-1)^8).

%Y Row n=8 of A318557.

%K nonn,easy

%O 0,3

%A _Alois P. Heinz_, Aug 30 2018

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