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%I #14 Feb 20 2024 13:17:25
%S 4,16,84,536,4004,34176,327604,3481096,40585284,514872176,7058605844,
%T 103969203576,1637182717924,27442553929696,487806792137844,
%U 9164718013496936,181446744138509444,3775570370986139856
%N Permanent of (0,1)-matrix of size n X (n+d) with d=3 and n-1 zeros not on a line.
%D Brualdi, Richard A. and Ryser, Herbert J., Combinatorial Matrix Theory, Cambridge NY (1991), Chapter 7.
%H Indranil Ghosh, <a href="/A090013/b090013.txt">Table of n, a(n) for n = 1..446</a>
%H Seok-Zun Song et al., <a href="https://doi.org/10.1016/S0024-3795(03)00382-3">Extremes of permanents of (0,1)-matrices</a>, Lin. Algebra and its Applic. 373 (2003), pp. 197-210.
%F a(n) = (n+2)*a(n-1) + (n-2)*a(n-2), a(1)=4, a(2)=16
%F a(n) ~ exp(-1) * n! * n^3 / 6. - _Vaclav Kotesovec_, Nov 30 2017
%t t={4,16};Do[AppendTo[t,(n+2)*t[[-1]]+(n-2)*t[[-2]]],{n,3,18}];t (* _Indranil Ghosh_, Feb 21 2017 *)
%Y a(n) = A000261(n-1) + A000261(n), a(1)=4
%Y Cf. A000255, A000153, A000261, A001909, A001910, A090010, A055790, A090012-A090016.
%K nonn,easy
%O 1,1
%A _Jaap Spies_, Dec 13 2003
%E Corrected by _Jaap Spies_, Jan 26 2004
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