|
%I #4 Dec 01 2014 11:48:26
%S 2356,22536,223164,2302844,24846540,280654684,3313122288,40698859196,
%T 517132372168,6752450899672,90051946957152,1220159586278176,
%U 16726623359562940,231245537389026104,3216449699345556508
%N Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock summing to 3 6 or 9
%C Column 3 of A251300
%H R. H. Hardin, <a href="/A251295/b251295.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 70*a(n-1) -2063*a(n-2) +32707*a(n-3) -289660*a(n-4) +1236213*a(n-5) +63306*a(n-6) -20263462*a(n-7) +36944351*a(n-8) +154483968*a(n-9) -251174091*a(n-10) -887148665*a(n-11) -156301346*a(n-12) +1188162821*a(n-13) +919091600*a(n-14) -91672228*a(n-15) -237739072*a(n-16) -16658880*a(n-17) +16934400*a(n-18)
%e Some solutions for n=2
%e ..1..2..1..0....1..2..1..0....3..2..3..0....1..1..2..0....0..0..3..3
%e ..0..3..3..2....3..0..0..2....3..1..3..0....1..0..0..1....0..3..3..0
%e ..3..3..0..1....1..2..1..0....0..2..3..0....2..0..3..2....3..3..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 01 2014
| 