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A224742 Number of (n+1) X 6 0..1 matrices with each 2 X 2 permanent equal. 1

%I #6 Apr 26 2021 19:19:51

%S 538,9554,107665,1644874,21910274,316084673,4390392346,62260133978,

%T 873935026817,12334039384018,173598561450322,2446847686729409,

%U 34462955221735786,485580984830908274,6840489581505653009

%N Number of (n+1) X 6 0..1 matrices with each 2 X 2 permanent equal.

%C Column 5 of A224745.

%H R. H. Hardin, <a href="/A224742/b224742.txt">Table of n, a(n) for n = 1..177</a>

%F Empirical: a(n) = 19*a(n-1) +7*a(n-2) -1516*a(n-3) +4721*a(n-4) +32621*a(n-5) -149676*a(n-6) -264873*a(n-7) +1850099*a(n-8) +416492*a(n-9) -11177731*a(n-10) +5573265*a(n-11) +33910965*a(n-12) -31589024*a(n-13) -47422880*a(n-14) +62438904*a(n-15) +21268656*a(n-16) -49177152*a(n-17) +6728832*a(n-18) +10917504*a(n-19) -3359232*a(n-20).

%e Some solutions for n=3

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

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

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

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

%Y Cf. A224745.

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 17 2013

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Last modified March 4 02:53 EST 2024. Contains 370522 sequences. (Running on oeis4.)