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 A224743 Number of (n+1)X7 0..1 matrices with each 2X2 permanent equal 1

%I #4 Apr 17 2013 07:30:36

%S 1349,40297,661569,15845297,316084673,6987578401,146736389761,

%T 3168731910657,67464482340481,1447369426794241,30930891036128897,

%U 662387947081486209,14169962871793504897,303300664612182687361

%N Number of (n+1)X7 0..1 matrices with each 2X2 permanent equal

%C Column 6 of A224745

%H R. H. Hardin, <a href="/A224743/b224743.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 34*a(n-1) -75*a(n-2) -7140*a(n-3) +54718*a(n-4) +428776*a(n-5) -5148288*a(n-6) -7894384*a(n-7) +216431848*a(n-8) -145979616*a(n-9) -5025133232*a(n-10) +9340472128*a(n-11) +69509336640*a(n-12) -190959984640*a(n-13) -579126695808*a(n-14) +2166687694336*a(n-15) +2696767474176*a(n-16) -15137991368704*a(n-17) -4263323315200*a(n-18) +66643415601152*a(n-19) -21968505323520*a(n-20) -181114010091520*a(n-21) +142147429171200*a(n-22) +282120150515712*a(n-23) -347524113432576*a(n-24) -202500951769088*a(n-25) +419006127800320*a(n-26) -2311631929344*a(n-27) -237796008656896*a(n-28) +74252761956352*a(n-29) +49986725216256*a(n-30) -26211312992256*a(n-31) -1579608440832*a(n-32) +2358473916416*a(n-33) -274877906944*a(n-34)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 17 2013

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Last modified March 4 10:03 EST 2024. Contains 370528 sequences. (Running on oeis4.)