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A204834 Number of (n+1)X3 0..2 arrays with the permanents of all 2X2 subblocks equal and nonzero 1

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

%S 132,524,1616,6370,21380,81706,284982,1068556,3806698,14134062,

%T 50991492,188455830,685297032,2528016622,9240734242,34073187134,

%U 124993402790,461002644276,1695445551856,6256762635894,23054254621028,85137162675964

%N Number of (n+1)X3 0..2 arrays with the permanents of all 2X2 subblocks equal and nonzero

%C Column 2 of A204840

%H R. H. Hardin, <a href="/A204834/b204834.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +27*a(n-2) -272*a(n-3) -166*a(n-4) +4400*a(n-5) -2099*a(n-6) -38451*a(n-7) +40394*a(n-8) +197193*a(n-9) -288743*a(n-10) -602214*a(n-11) +1139080*a(n-12) +1038852*a(n-13) -2693225*a(n-14) -762225*a(n-15) +3842539*a(n-16) -401148*a(n-17) -3143804*a(n-18) +1172882*a(n-19) +1265630*a(n-20) -763476*a(n-21) -143344*a(n-22) +155436*a(n-23) -12496*a(n-24) -5304*a(n-25) +528*a(n-26)

%e Some solutions for n=4

%e ..2..2..2....2..1..0....2..2..1....2..2..2....1..2..1....0..1..0....2..0..2

%e ..1..0..1....2..0..2....0..2..1....0..2..0....1..1..1....2..2..2....0..2..2

%e ..0..2..1....1..1..1....2..2..1....2..0..2....2..1..2....0..1..0....2..0..2

%e ..1..0..1....1..1..1....2..0..2....1..2..2....1..1..1....2..2..2....1..2..2

%e ..0..2..2....2..0..2....0..2..1....1..2..0....1..2..1....0..1..0....2..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 19 2012

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Last modified September 16 23:59 EDT 2024. Contains 375984 sequences. (Running on oeis4.)