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A224740 Number of (n+1) X 4 0..1 matrices with each 2 X 2 permanent equal. 1

%I #6 Jun 22 2022 01:41:36

%S 89,565,2961,18257,107665,661569,4028161,24772161,152077313,935846145,

%T 5757221121,35438268417,218128814081,1342810858497,8266377695233,

%U 50889801535489,313290148417537,1928708042670081,11873713471619073

%N Number of (n+1) X 4 0..1 matrices with each 2 X 2 permanent equal.

%C Column 3 of A224745.

%H R. H. Hardin, <a href="/A224740/b224740.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -8*a(n-2) -88*a(n-3) +176*a(n-4) +88*a(n-5) -352*a(n-6) +80*a(n-7) +160*a(n-8) -64*a(n-9).

%e Some solutions for n=3

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

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

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

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

%Y Cf. A224745.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 17 2013

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)