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A252150 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7 1

%I

%S 1254,1945,2591,3583,5577,8309,13146,20950,33818,55346,92228,153326,

%T 257118,433125,730767,1232945,2092819,3539142,6005972,10197512,

%U 17313553,29382207,50001920,84896675,144348067,245505177,417484458,709656574

%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7

%C Column 1 of A252157

%H R. H. Hardin, <a href="/A252150/b252150.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -a(n-1) +3*a(n-2) +20*a(n-3) +21*a(n-4) -43*a(n-5) -183*a(n-6) -208*a(n-7) +228*a(n-8) +1000*a(n-9) +1261*a(n-10) -415*a(n-11) -3512*a(n-12) -5043*a(n-13) -1010*a(n-14) +7890*a(n-15) +13542*a(n-16) +7317*a(n-17) -10576*a(n-18) -24299*a(n-19) -18319*a(n-20) +6938*a(n-21) +28756*a(n-22) +24462*a(n-23) -2073*a(n-24) -23377*a(n-25) -15656*a(n-26) +9200*a(n-27) +19112*a(n-28) -1021*a(n-29) -27441*a(n-30) -24855*a(n-31) +8844*a(n-32) +37880*a(n-33) +29336*a(n-34) -7180*a(n-35) -30749*a(n-36) -19351*a(n-37) +7896*a(n-38) +17119*a(n-39) +2274*a(n-40) -12971*a(n-41) -9260*a(n-42) +7017*a(n-43) +14389*a(n-44) +6195*a(n-45) -6149*a(n-46) -8849*a(n-47) -2681*a(n-48) +2643*a(n-49) +2309*a(n-50) -618*a(n-51) -1335*a(n-52) +104*a(n-53) +1366*a(n-54) +1020*a(n-55) -64*a(n-56) -598*a(n-57) -412*a(n-58) -24*a(n-59) +84*a(n-60) +48*a(n-61) for n>82

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified January 16 17:45 EST 2022. Contains 350376 sequences. (Running on oeis4.)