A252643 - OEIS

%I #4 Dec 19 2014 11:36:34

%S 1189,4226,12840,29463,110665,355574,840655,3260707,10744547,25508207,

%T 101193115,338681148,802629085,3232141280,10932868939,25796432709,

%U 105008159655,358017641465,839978667582,3448701353842,11833026855353

%N Number of (3+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7

%C Row 3 of A252640

%H R. H. Hardin, <a href="/A252643/b252643.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 128*a(n-3) -6795*a(n-6) +197027*a(n-9) -3485715*a(n-12) +40112291*a(n-15) -314079654*a(n-18) +1729862009*a(n-21) -6873668781*a(n-24) +20116182638*a(n-27) -44166333047*a(n-30) +73953140517*a(n-33) -95420813777*a(n-36) +94546651863*a(n-39) -70315286432*a(n-42) +37717184263*a(n-45) -13857738438*a(n-48) +3270640464*a(n-51) -453515360*a(n-54) +31724800*a(n-57) -768000*a(n-60) for n>63

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014