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A224413 Number of 6Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing 1

%I #4 Apr 05 2013 20:54:55

%S 64,972,4636,13440,31710,68282,139638,275766,530583,999049,1844709,

%T 3342831,5946316,10384152,17805490,29986574,49622914,80735424,

%U 129226948,203634878,316136662,483878162,730710330,1089437826,1604704333

%N Number of 6Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing

%C Row 6 of A224409

%H R. H. Hardin, <a href="/A224413/b224413.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/479001600)*n^12 + (1/7257600)*n^11 + (199/43545600)*n^10 + (1/10752)*n^9 + (19951/14515200)*n^8 + (5143/345600)*n^7 + (6148357/43545600)*n^6 + (3015961/1451520)*n^5 + (128983289/10886400)*n^4 + (40193333/604800)*n^3 + (444089893/1663200)*n^2 - (4351/20)*n - 222 for n>4

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 05 2013

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Last modified September 19 16:05 EDT 2024. Contains 376013 sequences. (Running on oeis4.)