|
%I #5 Mar 31 2012 12:36:21
%S 1,2,4,11,35,132,575,2666,13366,75702,440671,2729413,18532000,
%T 128377424,932516735,7310526099,58152253376,481264505644,
%U 4246485063225,37932739729104,350480039796036,3421582485716585,33772551636563403
%N Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 3 consecutive elements totalling n or more
%H R. H. Hardin, <a href="/A193058/b193058.txt">Table of n, a(n) for n = 1..126</a>
%e Some solutions for n=8
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..0....1....1....0....0....1....0....1....1....0....1....0....1....0....1....1
%e ..1....2....2....1....1....0....1....0....2....1....2....1....2....1....2....2
%e ..0....1....1....2....0....0....1....1....2....2....3....1....2....1....1....3
%e ..1....0....1....0....2....2....1....2....3....0....1....2....2....2....2....2
%e ..1....1....0....3....1....1....2....0....0....0....0....3....1....3....2....0
%e ..1....0....1....0....3....0....3....0....4....1....1....1....3....0....2....0
%e ..1....3....2....0....2....1....1....2....2....2....3....2....1....2....2....1
%K nonn
%O 1,2
%A _R. H. Hardin_ Jul 15 2011
| 