A204956 - OEIS

%I #5 Mar 31 2012 12:37:03

%S 51,277,1436,6921,32468,147434,659392,2907273,12720102,55312482,

%T 239664411,1035761616,4469289143,19264431459,82983495781,357308047528,

%U 1538085137733,6619812032809,28488295966068,122591240597807

%N Number of (n+1)X3 0..1 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing

%C Column 2 of A204962

%H R. H. Hardin, <a href="/A204956/b204956.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +6*a(n-2) -121*a(n-3) +60*a(n-4) +899*a(n-5) -794*a(n-6) -3741*a(n-7) +3822*a(n-8) +9513*a(n-9) -10198*a(n-10) -15151*a(n-11) +16736*a(n-12) +14873*a(n-13) -17358*a(n-14) -8327*a(n-15) +11131*a(n-16) +1988*a(n-17) -4040*a(n-18) +204*a(n-19) +636*a(n-20) -144*a(n-21)

%e Some solutions for n=4

%e ..1..1..1....0..0..1....1..0..0....1..1..1....0..0..0....1..0..0....0..1..0

%e ..0..1..0....0..0..0....0..0..1....1..1..1....1..0..1....1..0..1....0..0..1

%e ..1..0..1....1..0..1....1..0..1....1..1..1....0..0..0....1..0..1....1..1..1

%e ..1..1..1....1..0..0....0..1..1....1..1..1....0..1..1....1..0..1....0..1..0

%e ..1..0..1....1..0..0....1..1..1....1..1..1....0..1..0....0..0..1....1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 20 2012