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A259998 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101 1

%I #4 Jul 12 2015 10:23:40

%S 1228,4383,13562,23680,55276,190794,450718,964370,2768522,8264691,

%T 20203550,48957864,137929046,406791665,1033667566,2555190916,

%U 7196820436,21161205056,54066522950,135615946112,383740890668,1113657907977

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101

%C Column 5 of A260001

%H R. H. Hardin, <a href="/A259998/b259998.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-3) +56*a(n-4) -32*a(n-6) -490*a(n-7) -450*a(n-8) +37*a(n-9) +1191*a(n-10) +1598*a(n-11) +1762*a(n-12) -1350*a(n-13) +1184*a(n-14) +93*a(n-15) -16404*a(n-16) -4556*a(n-17) -3265*a(n-18) +44210*a(n-19) +125782*a(n-20) -33797*a(n-21) -29500*a(n-22) -254074*a(n-23) -520623*a(n-24) +210128*a(n-25) -74473*a(n-26) +1072796*a(n-27) +259840*a(n-28) +330651*a(n-29) -75093*a(n-30) -959336*a(n-31) -681865*a(n-32) -730658*a(n-33) +280203*a(n-34) +944943*a(n-35) +1004337*a(n-36) +433223*a(n-37) -59015*a(n-38) -954285*a(n-39) -640527*a(n-40) -695728*a(n-41) -235922*a(n-42) +327451*a(n-43) +333413*a(n-44) +389212*a(n-45) +94199*a(n-46) -39494*a(n-47) -78311*a(n-48) -48308*a(n-49) -11912*a(n-50) +2030*a(n-51) +2211*a(n-52) -918*a(n-53) -7856*a(n-54) +70*a(n-55) -60*a(n-56) +555*a(n-57) -225*a(n-58) for n>62

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260001

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 12 2015

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)