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%I #5 Mar 31 2012 12:36:48
%S 1,16,422,15184,658492,31670778,1605067272,83391232150,4381848547778,
%T 231395948507974,12245606508739280,648623284638627434,
%U 34368743751642250540,1821371899756234451072,96529219722687416879248
%N Number of nX5 nonnegative integer arrays each row and column an ascent sequence (interior element no greater than one plus up-steps preceding it)
%C Column 5 of A202549
%H R. H. Hardin, <a href="/A202546/b202546.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 248*a(n-1) -28257*a(n-2) +1983086*a(n-3) -96716548*a(n-4) +3501247008*a(n-5) -98041897636*a(n-6) +2183731061720*a(n-7) -39467231788974*a(n-8) +587360100631792*a(n-9) -7277885948132030*a(n-10) +75715899880267428*a(n-11) -665596188648277796*a(n-12) +4967331341358415264*a(n-13) -31576803108288506292*a(n-14) +171339297288381207736*a(n-15) -794338390900258760921*a(n-16) +3145914141416297017368*a(n-17) -10629653385646120229545*a(n-18) +30565276610513057112350*a(n-19) -74504175841117536306000*a(n-20) +153099418629948633800000*a(n-21) -263226315416901561100000*a(n-22) +374833070285871009000000*a(n-23) -436066606759556920000000*a(n-24) +406749933955032200000000*a(n-25) -296248613227822500000000*a(n-26) +161980921664235000000000*a(n-27) -62416844384400000000000*a(n-28) +15084392022000000000000*a(n-29) -1716513120000000000000*a(n-30)
%e Some solutions for n=4
%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..1..1..1..1....0..1..0..0..1....0..0..0..1..1....0..1..0..0..0
%e ..0..0..1..1..1....0..1..0..0..1....0..0..1..0..0....0..0..0..0..1
%e ..0..0..1..2..0....0..1..1..1..0....0..1..0..2..0....0..0..0..1..2
%K nonn
%O 1,2
%A _R. H. Hardin_ Dec 20 2011
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