A245162 - OEIS

%I #4 Jul 12 2014 21:46:44

%S 1,1,2,4,9,23,65,199,654,2296,8569,33825,140581,612933,2795182,

%T 13298464,65852872,338694406,1805809431,9963758843,56805378239,

%U 334156440067,2025424520548,12633195093794,80976535864874,532652296499548

%N Number of length n 0..7 arrays with new values introduced in order from both ends

%C Column 7 of A245163

%H R. H. Hardin, <a href="/A245162/b245162.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 50*a(n-1) -1127*a(n-2) +15148*a(n-3) -135303*a(n-4) +846930*a(n-5) -3816041*a(n-6) +12508144*a(n-7) -29761816*a(n-8) +50647520*a(n-9) -59753232*a(n-10) +46142208*a(n-11) -20839680*a(n-12) +4147200*a(n-13) for n>14

%e Some solutions for n=7

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

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

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

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

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

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

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%K nonn

%O 1,3

%A _R. H. Hardin_, Jul 12 2014