cp's OEIS Frontend

A222341 Number of (n+4) X 1 arrays of occupancy after each element moves up to +-4 places including 0.

%I A222341 #9 Aug 16 2018 08:58:04
%S A222341 126,460,1690,6225,22950,84626,312019,1150208,4239225,15621426,
%T A222341 57556155,212037241,781074572,2877011660,10596599460,39027676220,
%U A222341 143735627861,529352597361,1949472483601,7179308057596,26438877143476,97364252272077
%N A222341 Number of (n+4) X 1 arrays of occupancy after each element moves up to +-4 places including 0.
%C A222341 Column 4 of A222345.
%H A222341 R. H. Hardin, <a href="/A222341/b222341.txt">Table of n, a(n) for n = 1..40</a>
%F A222341 Empirical: a(n) = 9*a(n-1) - 28*a(n-2) + 35*a(n-3) - 15*a(n-4) + a(n-5).
%F A222341 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 A222341 Some solutions for n=3:
%e A222341 ..0....3....1....2....1....0....0....1....0....0....1....0....1....3....0....1
%e A222341 ..0....0....1....0....2....0....2....0....0....4....1....0....0....2....2....1
%e A222341 ..1....1....1....0....1....1....0....1....5....0....0....0....0....0....0....0
%e A222341 ..0....2....3....1....2....0....0....0....0....0....3....1....3....2....5....0
%e A222341 ..6....0....0....0....0....2....0....0....0....0....0....4....1....0....0....5
%e A222341 ..0....1....1....3....1....4....0....2....2....0....2....1....0....0....0....0
%e A222341 ..0....0....0....1....0....0....5....3....0....3....0....1....2....0....0....0
%Y A222341 Cf. A222345.
%K A222341 nonn
%O A222341 1,1
%A A222341 _R. H. Hardin_, Feb 16 2013