login
Number of (n+2)X5 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:00

%S 80391,756338,5257444,39646479,315429190,2404876738,18455232523,

%T 141708188218,1080947863092,8278402917075,63528617890314,

%U 486692871562162,3729534140036939,28580128199326250,218948932569435888

%N Number of (n+2)X5 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 3 of A204056

%H R. H. Hardin, <a href="/A204051/b204051.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -31*a(n-2) +79*a(n-3) -472*a(n-4) +1932*a(n-5) +2343*a(n-6) -67575*a(n-7) +146489*a(n-8) -117175*a(n-9) +1530642*a(n-10) -3606682*a(n-11) -273862*a(n-12) +16772230*a(n-13) -36299284*a(n-14) +57214908*a(n-15) -450679676*a(n-16) +1029465388*a(n-17) -1009716328*a(n-18) +1262395368*a(n-19) -3104036256*a(n-20) +5553659568*a(n-21) +6848087424*a(n-22) -17980020864*a(n-23) -350054784*a(n-24) -7325373888*a(n-25) +24129328896*a(n-26) +5625189504*a(n-27) -22114632960*a(n-28) +13450924800*a(n-29) -6809163264*a(n-30) +6167549952*a(n-31) -7135008768*a(n-32) +2176782336*a(n-33) for n>34

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2012