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A261264 Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101. 1

%I #4 Aug 13 2015 06:39:17

%S 1123,1436,6795,26072,85617,274100,1062118,3488342,12721239,41920830,

%T 155836702,510815882,1888254136,6209495774,22984035493,75470825466,

%U 279286307313,917683052186,3395646295243,11155308717668,41278408039419

%N Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.

%C Column 7 of A261265.

%H R. H. Hardin, <a href="/A261264/b261264.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +79*a(n-4) +a(n-5) +247*a(n-6) -3*a(n-7) +32*a(n-8) -74*a(n-9) -753*a(n-10) -9*a(n-11) -1402*a(n-12) +1289*a(n-13) +7459*a(n-14) -973*a(n-15) -7467*a(n-16) -10676*a(n-17) -6513*a(n-18) +19379*a(n-19) +24282*a(n-20) +9547*a(n-21) -22677*a(n-22) -62038*a(n-23) +189*a(n-24) +70432*a(n-25) +15606*a(n-26) -14003*a(n-27) -6976*a(n-28) -40743*a(n-29) -2370*a(n-30) +24865*a(n-31) -801*a(n-32) +14267*a(n-33) +835*a(n-34) -6129*a(n-35) +1383*a(n-36) -13883*a(n-37) -619*a(n-38) +3247*a(n-39) -246*a(n-40) +6705*a(n-41) +160*a(n-42) -1834*a(n-43) +22*a(n-44) -1348*a(n-45) -15*a(n-46) +441*a(n-47) -10*a(n-48) +153*a(n-49) -a(n-50) -34*a(n-51) -20*a(n-53) -a(n-55) for n>62

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261265.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 13 2015

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)