cp's OEIS Frontend

A212927 Number of n X 5 0..4 arrays with no column j greater than column j-1 in all rows.

%I A212927 #13 Jul 04 2025 19:21:07
%S A212927 126,4431876,23124921876,85800824609376,285912852294921876,
%T A212927 916111390974365234376,2891333179750701904296876,
%U A212927 9071116924325493011474609376,28391912978833403911590576171876
%N A212927 Number of n X 5 0..4 arrays with no column j greater than column j-1 in all rows.
%H A212927 R. H. Hardin, <a href="/A212927/b212927.txt">Table of n, a(n) for n = 1..210</a>
%F A212927 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 A212927 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 A212927 Some solutions for n=3
%e A212927 ..3..1..0..2..2....3..0..1..4..2....1..1..0..4..2....0..0..3..2..1
%e A212927 ..4..4..2..4..2....4..3..0..0..1....1..1..2..0..1....3..4..4..4..4
%e A212927 ..4..1..1..1..0....2..4..2..3..0....4..3..4..1..2....2..1..4..1..0
%Y A212927 Column 5 of A212930.
%K A212927 nonn
%O A212927 1,1
%A A212927 _R. H. Hardin_, May 31 2012