A222341 - OEIS

%I #9 Aug 16 2018 08:58:04

%S 126,460,1690,6225,22950,84626,312019,1150208,4239225,15621426,

%T 57556155,212037241,781074572,2877011660,10596599460,39027676220,

%U 143735627861,529352597361,1949472483601,7179308057596,26438877143476,97364252272077

%N Number of (n+4) X 1 arrays of occupancy after each element moves up to +-4 places including 0.

%C Column 4 of A222345.

%H R. H. Hardin, <a href="/A222341/b222341.txt">Table of n, a(n) for n = 1..40</a>

%F Empirical: a(n) = 9*a(n-1) - 28*a(n-2) + 35*a(n-3) - 15*a(n-4) + a(n-5).

%F Empirical g.f.: x*(126 - 674*x + 1078*x^2 - 515*x^3 + 35*x^4) / (1 - 9*x + 28*x^2 - 35*x^3 + 15*x^4 - x^5). - _Colin Barker_, Aug 16 2018

%e Some solutions for n=3:

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

%e ..0....0....1....0....2....0....2....0....0....4....1....0....0....2....2....1

%e ..1....1....1....0....1....1....0....1....5....0....0....0....0....0....0....0

%e ..0....2....3....1....2....0....0....0....0....0....3....1....3....2....5....0

%e ..6....0....0....0....0....2....0....0....0....0....0....4....1....0....0....5

%e ..0....1....1....3....1....4....0....2....2....0....2....1....0....0....0....0

%e ..0....0....0....1....0....0....5....3....0....3....0....1....2....0....0....0

%Y Cf. A222345.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 16 2013