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 A260367 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111 1

%I #4 Jul 23 2015 13:12:13

%S 616,896,2532,5326,6144,15440,37948,52390,101664,257566,426880,725994,

%T 1725912,3274678,5445516,11736246,23960256,41364302,81988816,

%U 171038604,310817940,587494972,1211225620,2298124782,4275996700,8598088978

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111

%C Column 5 of A260370

%H R. H. Hardin, <a href="/A260367/b260367.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-3) +19*a(n-4) -18*a(n-6) -124*a(n-7) -163*a(n-8) +10*a(n-9) +252*a(n-10) +864*a(n-11) +879*a(n-12) -174*a(n-13) -1591*a(n-14) -3680*a(n-15) -3315*a(n-16) +1266*a(n-17) +6073*a(n-18) +10814*a(n-19) +9133*a(n-20) -5114*a(n-21) -15884*a(n-22) -23402*a(n-23) -19214*a(n-24) +13236*a(n-25) +30495*a(n-26) +38782*a(n-27) +32769*a(n-28) -23424*a(n-29) -45619*a(n-30) -49722*a(n-31) -47865*a(n-32) +30226*a(n-33) +55237*a(n-34) +48214*a(n-35) +60530*a(n-36) -30888*a(n-37) -53980*a(n-38) -34404*a(n-39) -61349*a(n-40) +24766*a(n-41) +39056*a(n-42) +18624*a(n-43) +46236*a(n-44) -13648*a(n-45) -19198*a(n-46) -7988*a(n-47) -24471*a(n-48) +4392*a(n-49) +6110*a(n-50) +2386*a(n-51) +8570*a(n-52) -662*a(n-53) -1089*a(n-54) -306*a(n-55) -1825*a(n-56) -6*a(n-57) +60*a(n-58) -24*a(n-59) +201*a(n-60) +8*a(n-61) +3*a(n-62) +6*a(n-63) -8*a(n-64) for n>66

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260370

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 23 2015

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Last modified June 9 00:10 EDT 2023. Contains 363165 sequences. (Running on oeis4.)