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A251983 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 0 1 2 7 8 or 9 and every diagonal and antidiagonal sum 0 1 2 7 8 or 9 9

%I

%S 2930,9822,9822,41682,73222,41682,138390,516108,516108,138390,463054,

%T 2703512,4379034,2703512,463054,1762248,16324414,26230040,26230040,

%U 16324414,1762248,6881308,113817844,196459816,153525420,196459816

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 0 1 2 7 8 or 9 and every diagonal and antidiagonal sum 0 1 2 7 8 or 9

%C Table starts

%C .....2930.......9822........41682.......138390.........463054.........1762248

%C .....9822......73222.......516108......2703512.......16324414.......113817844

%C ....41682.....516108......4379034.....26230040......196459816......1645790820

%C ...138390....2703512.....26230040....153525420.....1175144274.....11222619848

%C ...463054...16324414....196459816...1175144274....10630171636....144374047558

%C ..1762248..113817844...1645790820..11222619848...144374047558...2806746475910

%C ..6881308..782954632..13277304274..98312125934..1633057450764..41357385753908

%C .25756230.5188534650.103969785600.803257677008.16362554029592.560931930325822

%H R. H. Hardin, <a href="/A251983/b251983.txt">Table of n, a(n) for n = 1..264</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 31] for n>34

%F k=2: [order 47] for n>53

%F k=3: [order 56] for n>60

%e Some solutions for n=2 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 12 2014

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Last modified January 28 13:11 EST 2020. Contains 331321 sequences. (Running on oeis4.)