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%I #12 Feb 23 2021 05:25:48
%S 1,322,1186,2110,3034,3958,4882,5806,6730,7654,8578,9502,10426,11350,
%T 12274,13198,14122,15046,15970,16894,17818,18742,19666,20590,21514,
%U 22438,23362,24286,25210,26134,27058,27982,28906,29830,30754,31678
%N Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-6).
%C More generally for any n>=floor((m+1)/2) the trace of M(n)^(-m) = binomial(2*m,m)*n-2^(2*m-1)+binomial(2*m-1,m).
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F a(n) = 924n-1586 with n>2, a(1)=1, a(2)=322.
%F a(n) = 2*a(n-1)-a(n-2) for n>4. G.f.: x*(1+320*x+543*x^2+60*x^3)/(1-x)^2. [_Colin Barker_, Mar 18 2012]
%Y Cf. A114359, A114360, A114361.
%K nonn,easy
%O 1,2
%A _Benoit Cloitre_, Feb 09 2006
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