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A318627 Number of 6-member subsets of [6*n] whose elements sum to a multiple of n. 2

%I #7 Aug 30 2018 23:16:42

%S 0,1,452,6198,33594,118755,324516,749398,1533686,2869719,5005980,

%T 8259888,13019358,19757815,29033576,41507700,57939438,79208745,

%U 106307256,140364532,182635562,234531357,297600576,373566942,464304450,571880029,698523980,846678498

%N Number of 6-member subsets of [6*n] whose elements sum to a multiple of n.

%H Alois P. Heinz, <a href="/A318627/b318627.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (2,1,-3,-1,1,4,-3,-3,4,1,-1,-3,1,2,-1).

%F G.f.: x*(6*x^14 +450*x^13 +5286*x^12 +20787*x^11 +46696*x^10 +72381*x^9 +88225*x^8 +92230*x^7 +88135*x^6 +72457*x^5 +46726*x^4 +20749*x^3 +5293*x^2 +450*x+1) / ((x^2-x+1) *(x^2+x+1)^2 *(x+1)^3 *(x-1)^6).

%Y Row n=6 of A318557.

%K nonn,easy

%O 0,3

%A _Alois P. Heinz_, Aug 30 2018

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Last modified July 19 17:03 EDT 2024. Contains 374410 sequences. (Running on oeis4.)