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A260979 Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101 1

%I #4 Aug 06 2015 11:15:54

%S 6526,3683,4688,9728,14672,30418,45504,95248,145748,298612,459656,

%T 962406,1514880,3159306,4901140,10112892,15968776,33287288,52776144,

%U 108309796,172770868,355488952,570503876,1164669296,1880888992,3837475736

%N Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101

%C Column 7 of A260980

%H R. H. Hardin, <a href="/A260979/b260979.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-4) +4*a(n-5) +4*a(n-7) -147*a(n-8) -72*a(n-9) -3*a(n-10) -66*a(n-11) +690*a(n-12) +504*a(n-13) +48*a(n-14) +380*a(n-15) -2656*a(n-16) -2152*a(n-17) -312*a(n-18) -1496*a(n-19) +6833*a(n-20) +5472*a(n-21) +1244*a(n-22) +4112*a(n-23) -9128*a(n-24) -4128*a(n-25) -1536*a(n-26) -7184*a(n-27) -3428*a(n-28) -10480*a(n-29) -5280*a(n-30) -4552*a(n-31) +41776*a(n-32) +27808*a(n-33) +18384*a(n-34) +26272*a(n-35) -37136*a(n-36) -33600*a(n-37) -9680*a(n-38) -16160*a(n-39) -42752*a(n-40) +22144*a(n-41) -25792*a(n-42) -3264*a(n-43) +71360*a(n-44) +55936*a(n-45) +18432*a(n-46) +13312*a(n-47) +36544*a(n-48) -86272*a(n-49) +16384*a(n-50) -13312*a(n-52) -53248*a(n-53) for n>63

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260980

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 06 2015

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)