A212927 - OEIS

%I #6 Jun 27 2012 15:27:09

%S 126,4431876,23124921876,85800824609376,285912852294921876,

%T 916111390974365234376,2891333179750701904296876,

%U 9071116924325493011474609376,28391912978833403911590576171876

%N Number of nX5 0..4 arrays with no column j greater than column j-1 in all rows

%C Column 5 of A212930

%H R. H. Hardin, <a href="/A212927/b212927.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5251*a(n-1) -7960875*a(n-2) +4411393125*a(n-3) -945536250000*a(n-4) +70667695312500*a(n-5) -1290429687500000*a(n-6) +1220703125000000*a(n-7).

%F Empirical: a(n) = -2*100^n-2*25^n-4*1250^n+3*500^n+3*250^n+3125^n+1. _R. J. Mathar_, Jun 27 2012

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ May 31 2012