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A259958 Number of (n+2) X (4+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001. 1

%I #6 Sep 03 2022 20:50:39

%S 353,1187,5449,22622,95505,410928,1749180,7428045,31652938,134864351,

%T 574177723,2444862662,10411688737,44337641182,188806035352,

%U 804008747575,3423786528448,14579849166047,62086786721703,264389995026138

%N Number of (n+2) X (4+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001.

%C Column 4 of A259962.

%H R. H. Hardin, <a href="/A259958/b259958.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +6*a(n-2) +20*a(n-3) +54*a(n-4) +38*a(n-5) -41*a(n-6) -191*a(n-7) -285*a(n-8) +296*a(n-9) +753*a(n-10) -160*a(n-11) -791*a(n-12) -99*a(n-13) +334*a(n-14) +98*a(n-15) -18*a(n-16) +54*a(n-17) -3*a(n-18) -35*a(n-19) +3*a(n-20) -12*a(n-21) -7*a(n-22) +4*a(n-23) for n>25.

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A259962.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2015

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Last modified August 19 19:31 EDT 2024. Contains 375310 sequences. (Running on oeis4.)