A252163 - OEIS

%I #4 Dec 14 2014 20:46:18

%S 7570,2075,3925,9058,26129,67674,170398,513123,1339027,3379880,

%T 10307117,26956608,68147852,209426605,547887143,1386788304,4287133295,

%U 11210580840,28398463398,88206429815,230468768285,584130500480,1821376961241

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

%C Column 4 of A252167

%H R. H. Hardin, <a href="/A252163/b252163.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +46*a(n-3) -37*a(n-4) +3*a(n-5) -648*a(n-6) +276*a(n-7) -130*a(n-8) +2922*a(n-9) +1191*a(n-10) +1623*a(n-11) -8591*a(n-12) +764*a(n-13) -5519*a(n-14) +35693*a(n-15) +13723*a(n-16) +23630*a(n-17) -78954*a(n-18) -36321*a(n-19) -76141*a(n-20) +153949*a(n-21) +136286*a(n-22) +198739*a(n-23) -123359*a(n-24) -253309*a(n-25) -387042*a(n-26) -61732*a(n-27) +308047*a(n-28) +507541*a(n-29) +292755*a(n-30) -185328*a(n-31) -412025*a(n-32) -265509*a(n-33) +39057*a(n-34) +151454*a(n-35) +46031*a(n-36) -27968*a(n-37) +5697*a(n-38) +9585*a(n-39) +1755*a(n-40) -8046*a(n-41) -2241*a(n-42) +1917*a(n-43) +216*a(n-44) +54*a(n-45) -54*a(n-46) for n>50

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014