cp's OEIS Frontend

A222342 Number of (n+5) X 1 arrays of occupancy after each element moves up to +-5 places including 0.

%I A222342 #8 Aug 16 2018 08:58:13
%S A222342 462,1714,6405,24038,90440,340746,1284780,4846101,18282268,68974905,
%T A222342 260225005,981727406,3703492842,13970426589,52697057080,198766661883,
%U A222342 749693097170,2827538839901,10664018934360,40218182084976
%N A222342 Number of (n+5) X 1 arrays of occupancy after each element moves up to +-5 places including 0.
%C A222342 Column 5 of A222345.
%H A222342 R. H. Hardin, <a href="/A222342/b222342.txt">Table of n, a(n) for n = 1..24</a>
%F A222342 Empirical: a(n) = 11*a(n-1) - 45*a(n-2) + 84*a(n-3) - 70*a(n-4) + 21*a(n-5) - a(n-6).
%F A222342 Empirical g.f.: x*(462 - 3368*x + 8341*x^2 - 8095*x^3 + 2611*x^4 - 126*x^5) / (1 - 11*x + 45*x^2 - 84*x^3 + 70*x^4 - 21*x^5 + x^6). - _Colin Barker_, Aug 16 2018
%e A222342 Some solutions for n=3:
%e A222342 ..0....0....1....0....1....2....3....3....0....0....3....3....1....1....0....2
%e A222342 ..1....0....3....4....2....1....0....1....2....0....2....3....0....2....0....1
%e A222342 ..1....5....0....0....0....0....1....0....0....3....2....0....2....2....2....0
%e A222342 ..1....0....0....0....0....2....0....1....0....4....0....0....0....0....0....0
%e A222342 ..0....0....0....3....0....2....3....1....5....0....0....0....2....0....0....1
%e A222342 ..0....0....0....1....0....0....0....0....0....0....0....0....2....1....2....0
%e A222342 ..1....0....3....0....4....1....0....2....0....1....0....0....0....2....1....1
%e A222342 ..4....3....1....0....1....0....1....0....1....0....1....2....1....0....3....3
%Y A222342 Cf. A222345.
%K A222342 nonn
%O A222342 1,1
%A A222342 _R. H. Hardin_, Feb 16 2013