This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A282082 #6 Sep 18 2024 09:41:54
%S A282082 1,3,12,44,110,226,452,868,1519,2485,3976,6216,9324,13524,19320,27192,
%T A282082 37389,50391,67188,88660,115258,147862,188188,237692,297115,367913,
%U A282082 452816,554064,672792,811240,973488,1162800,1380825,1630827,1918620,2248764,2623558
%N A282082 Number of n-element subsets of [n+6] having an even sum.
%H A282082 Alois P. Heinz, <a href="/A282082/b282082.txt">Table of n, a(n) for n = 0..1000</a>
%H A282082 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (7, -25, 63, -125, 203, -277, 323, -323, 277, -203, 125, -63, 25, -7, 1).
%F A282082 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 A282082 a(n) = A282011(n+6,n).
%e A282082 a(0) = 1: {}.
%e A282082 a(1) = 3: {2}, {4}, {6}.
%e A282082 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 A282082 Cf. A282011.
%K A282082 nonn,easy
%O A282082 0,2
%A A282082 _Alois P. Heinz_, Feb 05 2017