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A252571 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7 1

%I

%S 2985,8980,30532,107651,498696,1887578,7115253,31894631,122743127,

%T 470091119,2102294795,8141112826,31313195196,140219334014,

%U 544334882366,2096632656296,9398676402136,36523929959167,140756808264359

%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7

%C Column 5 of A252574

%H R. H. Hardin, <a href="/A252571/b252571.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 141*a(n-3) -7068*a(n-6) +174395*a(n-9) -2506081*a(n-12) +23429882*a(n-15) -154146596*a(n-18) +751684236*a(n-21) -2807197814*a(n-24) +8200818320*a(n-27) -19010699089*a(n-30) +35232932261*a(n-33) -52135315240*a(n-36) +60934776517*a(n-39) -55197026700*a(n-42) +37698656303*a(n-45) -18536879660*a(n-48) +5844224877*a(n-51) -584621719*a(n-54) -503336664*a(n-57) +341137814*a(n-60) -120629020*a(n-63) +28933758*a(n-66) -4962244*a(n-69) +608117*a(n-72) -51421*a(n-75) +2778*a(n-78) -83*a(n-81) +a(n-84) for n>89

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014

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Last modified January 26 18:22 EST 2021. Contains 340442 sequences. (Running on oeis4.)