A252348 - OEIS

%I #4 Dec 16 2014 20:45:39

%S 2176,5641,15208,40756,137488,425816,1312020,4674588,14943406,

%T 47066756,170470012,547418472,1733138452,6310325660,20264448300,

%U 64210355548,234552267492,752373575104,2384156623940,8732484325388,27975783641552

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8

%C Column 4 of A252352

%H R. H. Hardin, <a href="/A252348/b252348.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +87*a(n-3) -261*a(n-4) +174*a(n-5) -2324*a(n-6) +6972*a(n-7) -4648*a(n-8) +15538*a(n-9) -46614*a(n-10) +31076*a(n-11) +118156*a(n-12) -354468*a(n-13) +236312*a(n-14) -1711912*a(n-15) +5135736*a(n-16) -3423824*a(n-17) +4533488*a(n-18) -13600464*a(n-19) +9066976*a(n-20) +11593984*a(n-21) -34781952*a(n-22) +23187968*a(n-23) -61654400*a(n-24) +184963200*a(n-25) -123308800*a(n-26) +31107328*a(n-27) -93321984*a(n-28) +62214656*a(n-29) +142315520*a(n-30) -426946560*a(n-31) +284631040*a(n-32) -139388928*a(n-33) +418166784*a(n-34) -278777856*a(n-35) -64335872*a(n-36) +193007616*a(n-37) -128671744*a(n-38) +63504384*a(n-39) -190513152*a(n-40) +127008768*a(n-41) +5668864*a(n-42) -17006592*a(n-43) +11337728*a(n-44) -4653056*a(n-45) +13959168*a(n-46) -9306112*a(n-47) +262144*a(n-48) -786432*a(n-49) +524288*a(n-50) for n>53

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014