|
%I #5 Mar 31 2012 12:36:52
%S 8,680,31984,1194376,44344428,1707628408,66085464308,2542636404496,
%T 97688506009926,3756426746800752,144493565678435826,
%U 5557405757222316520,213730533301348703138,8219904362839412920344,316134938792029283711026
%N Number of nX2 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor
%C Column 2 of A202916
%H R. H. Hardin, <a href="/A202910/b202910.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 36*a(n-1) -238*a(n-2) +11172*a(n-3) +34719*a(n-4) +951582*a(n-5) +3347114*a(n-6) +29399988*a(n-7) +80056473*a(n-8) +374118253*a(n-9) +709288548*a(n-10) +1969872705*a(n-11) +2317452024*a(n-12) +3743198992*a(n-13) +2076708096*a(n-14) +1625702400*a(n-15)
%e Some solutions for n=4
%e ..7..6....3..3....4..2....4..5....2..6....7..5....3..0....2..3....2..0....1..5
%e ..7..5....1..3....4..1....0..6....1..6....7..4....3..0....7..3....3..1....7..5
%e ..5..6....5..4....3..1....4..6....7..6....1..4....2..2....7..2....3..2....7..1
%e ..1..6....5..0....4..4....4..6....7..0....1..0....3..3....3..2....0..0....2..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 26 2011
| 