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A252947 Number of (n+2)X(3+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order 1

%I

%S 2970,12915,64242,334197,1784781,9627372,52118784,282725568,

%T 1535104449,8338827870,45306981675,246190770945,1337831174295,

%U 7270130248164,39508334496378,214702980055479,1166779600060446,6340744909288953

%N Number of (n+2)X(3+2) 0..2 arrays with every consecutive three elements in every row, column and nw-se diagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

%C Column 3 of A252952

%H R. H. Hardin, <a href="/A252947/b252947.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -37*a(n-2) +33*a(n-3) +15*a(n-4) +20*a(n-5) +144*a(n-6) -518*a(n-7) -327*a(n-8) +602*a(n-9) +1273*a(n-10) +1700*a(n-11) -1872*a(n-12) -8389*a(n-13) +a(n-14) +7116*a(n-15) +16841*a(n-16) +3126*a(n-17) -31751*a(n-18) -27704*a(n-19) +23281*a(n-20) +67915*a(n-21) +33294*a(n-22) -93978*a(n-23) -174995*a(n-24) +14322*a(n-25) +257733*a(n-26) +345027*a(n-27) -51567*a(n-28) -561513*a(n-29) -620899*a(n-30) +21171*a(n-31) +835978*a(n-32) +1007545*a(n-33) +164575*a(n-34) -817885*a(n-35) -1207638*a(n-36) -499900*a(n-37) +556556*a(n-38) +899515*a(n-39) +627636*a(n-40) -196748*a(n-41) -478044*a(n-42) -360591*a(n-43) +18281*a(n-44) +166745*a(n-45) +132371*a(n-46) -16607*a(n-47) -50955*a(n-48) -19118*a(n-49) +6140*a(n-50) +16185*a(n-51) -1526*a(n-52) -2171*a(n-53) -1345*a(n-54) +1413*a(n-55) -174*a(n-56) -340*a(n-57) -4*a(n-58) +40*a(n-59) +8*a(n-60) -16*a(n-61) for n>63

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2014

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Last modified August 13 12:57 EDT 2022. Contains 356091 sequences. (Running on oeis4.)