A234834 - OEIS

%I #5 Dec 31 2013 07:37:19

%S 4032,28716,204618,1480140,11003508,81917442,610407090,4599763200,

%T 34670088612,260653727898,1973978274960,14942547090972,

%U 112726647158274,855431018398512,6486392278066446,49009155729672438,372210537737194542

%N Number of (n+2)X(1+2) 0..2 arrays with each 3X3 subblock having the sum of its 72 absolute element differences equal to 34

%C Column 1 of A234838

%H R. H. Hardin, <a href="/A234834/b234834.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +9*a(n-2) +789*a(n-3) -2313*a(n-4) -6696*a(n-5) -207666*a(n-6) +613926*a(n-7) +1658070*a(n-8) +24654780*a(n-9) -78498963*a(n-10) -180994662*a(n-11) -1400753817*a(n-12) +5240802141*a(n-13) +9315327483*a(n-14) +35316124335*a(n-15) -180514151127*a(n-16) -225010406979*a(n-17) -273283200675*a(n-18) +3034401272748*a(n-19) +2351614733298*a(n-20) +97770795093*a(n-21) -25129106905968*a(n-22) +2369195864460*a(n-23) -48100205160702*a(n-24) +50827932381402*a(n-25) -289456311030156*a(n-26) +1093187493175212*a(n-27) +1157937854342760*a(n-28) +3814277139079524*a(n-29) -7799950652174604*a(n-30) -13223099849563548*a(n-31) -22117245288184764*a(n-32) -1807549033478400*a(n-33) +32996807606148192*a(n-34) +38961719416626912*a(n-35) -4270334591592720*a(n-36) -20131577360365680*a(n-37) -8784688302705024*a(n-38)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2013