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A202732 Number of nX5 nonnegative integer arrays each row and column an ascent sequence (interior element no greater than one plus up-steps preceding it) and the lower right element equal to min(n,5)-1 1

%I #5 Mar 31 2012 12:36:51

%S 1,8,78,462,304,97794,12219684,1002070158,66418851994,3938900557370,

%T 220498154150976,11989843683775758,642848798388016272,

%U 34242542748164015936,1818689366369650176972,96473554444953414847032

%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) and the lower right element equal to min(n,5)-1

%C Column 5 of A202735

%H R. H. Hardin, <a href="/A202732/b202732.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) for n>34

%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..0..0..1....0..0..1..1..1....0..0..1..0..1....0..0..0..1..1

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 23 2011

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)