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A251977 Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not 0 1 2 7 8 or 9 and every diagonal and antidiagonal sum 0 1 2 7 8 or 9 1

%I

%S 9822,73222,516108,2703512,16324414,113817844,782954632,5188534650,

%T 34257278876,228560005812,1530119165804,10223398679682,68224593204516,

%U 455452709926230,3041841356153024,20315839299362970,135671042971647764

%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not 0 1 2 7 8 or 9 and every diagonal and antidiagonal sum 0 1 2 7 8 or 9

%C Column 2 of A251983

%H R. H. Hardin, <a href="/A251977/b251977.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -32*a(n-2) +92*a(n-3) -115*a(n-4) -382*a(n-5) -27*a(n-6) -1693*a(n-7) +2909*a(n-8) +6402*a(n-9) -2547*a(n-10) -18945*a(n-11) +26884*a(n-12) +59073*a(n-13) +105052*a(n-14) -227872*a(n-15) -270075*a(n-16) -345912*a(n-17) +303731*a(n-18) +608913*a(n-19) +788586*a(n-20) -309853*a(n-21) -327886*a(n-22) -1130785*a(n-23) -36733*a(n-24) -87267*a(n-25) +639150*a(n-26) +896823*a(n-27) -142377*a(n-28) +277511*a(n-29) -1213349*a(n-30) +374720*a(n-31) -525110*a(n-32) +797496*a(n-33) -303295*a(n-34) +233053*a(n-35) -277630*a(n-36) +103222*a(n-37) -25724*a(n-38) +40850*a(n-39) -16767*a(n-40) +3808*a(n-41) -8339*a(n-42) +6700*a(n-43) -3289*a(n-44) +1526*a(n-45) -616*a(n-46) +110*a(n-47) for n>53

%e Some solutions for n=2

%e ..2..3..0..2....1..1..3..2....2..2..0..2....1..0..2..2....2..1..2..2

%e ..1..0..3..0....0..3..0..3....0..0..3..0....2..3..0..3....1..3..0..1

%e ..2..3..0..2....3..0..3..1....2..2..0..2....2..0..3..0....3..0..3..1

%e ..3..0..3..2....1..3..0..1....2..1..0..2....2..3..0..2....1..3..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 12 2014

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)