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A275501 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2. 1

%I #4 Jul 30 2016 19:56:08

%S 41,1944,2000,3168,4180,13384,43780,143784,470352,1549756,5114352,

%T 16851668,55718276,183999596,607959912,2009783684,6640967048,

%U 21951863104,72556631720,239811612380,792682822452,2620034132264,8660100023060

%N Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2.

%C Column 5 of A275504.

%H R. H. Hardin, <a href="/A275501/b275501.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +16*a(n-2) -120*a(n-4) -55*a(n-5) +549*a(n-6) +319*a(n-7) -1772*a(n-8) -891*a(n-9) +4300*a(n-10) +1407*a(n-11) -7992*a(n-12) -1155*a(n-13) +11470*a(n-14) +a(n-15) -12854*a(n-16) +1155*a(n-17) +11372*a(n-18) -1407*a(n-19) -7960*a(n-20) +891*a(n-21) +4357*a(n-22) -320*a(n-23) -1820*a(n-24) +55*a(n-25) +560*a(n-26) -120*a(n-28) -a(n-29) +16*a(n-30) -a(n-32) for n>36

%e Some solutions for n=4

%e ..0..1..2..1..1. .0..0..0..0..1. .0..0..0..0..0. .0..0..0..1..0

%e ..1..2..2..0..0. .2..1..1..1..2. .1..1..1..1..1. .0..1..1..1..2

%e ..1..2..0..0..2. .1..1..2..2..2. .2..2..2..2..2. .1..2..2..2..2

%e ..0..0..0..1..1. .1..0..0..0..0. .0..0..0..0..0. .1..2..0..0..0

%Y Cf. A275504.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 30 2016

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Last modified July 8 12:18 EDT 2024. Contains 374155 sequences. (Running on oeis4.)