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A224170 Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing 1

%I #4 Mar 31 2013 20:31:52

%S 296,14751,242114,2335459,16625026,95808564,468021427,1994287334,

%T 7568051210,25994968917,81880904262,239073335825,652853600502,

%U 1679943141302,4099447427041,9538065127010,21257876699694,45567034926263

%N Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing

%C Column 5 of A224173

%H R. H. Hardin, <a href="/A224170/b224170.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (769/444787200)*n^15 + (348923/10897286400)*n^14 + (103091/194594400)*n^13 + (52907/9580032)*n^12 + (943843/19958400)*n^11 + (2062183/7257600)*n^10 + (18840953/10886400)*n^9 + (179917349/30481920)*n^8 + (117380839/4354560)*n^7 + (1362686849/21772800)*n^6 + (9998925647/39916800)*n^5 - (85242803/147840)*n^4 + (54417504217/43243200)*n^3 - (64383420173/12612600)*n^2 + (221650083/10010)*n - 34678 for n>6

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 31 2013

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Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)