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%I #4 Feb 05 2017 19:00:06
%S 1,3,12,44,110,226,452,868,1519,2485,3976,6216,9324,13524,19320,27192,
%T 37389,50391,67188,88660,115258,147862,188188,237692,297115,367913,
%U 452816,554064,672792,811240,973488,1162800,1380825,1630827,1918620,2248764,2623558
%N Number of n-element subsets of [n+6] having an even sum.
%H Alois P. Heinz, <a href="/A282082/b282082.txt">Table of n, a(n) for n = 0..1000</a>
%F G.f.: -(x^8-4*x^7+16*x^6-28*x^5+38*x^4-28*x^3+16*x^2-4*x+1) / ((x^2+1)^4*(x-1)^7).
%F a(n) = A282011(n+6,n).
%e a(0) = 1: {}.
%e a(1) = 3: {2}, {4}, {6}.
%e a(2) = 12: {1,3}, {1,5}, {1,7}, {2,4}, {2,6}, {2,8}, {3,5}, {3,7}, {4,6}, {4,8}, {5,7}, {6,8}.
%Y Cf. A282011.
%K nonn,easy
%O 0,2
%A _Alois P. Heinz_, Feb 05 2017
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