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A223917 Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 1

%I #4 Mar 29 2013 07:16:15

%S 239,9503,140236,1226491,7906972,41334135,183720802,715114500,

%T 2489822632,7881608430,22979660094,62362461624,158897321204,

%U 382876827441,877788083326,1924637063386,4053719944340,8232970841532,16176720454482

%N Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing

%C Column 7 of A223918

%H R. H. Hardin, <a href="/A223917/b223917.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (118519/21794572800)*n^14 + (118519/1037836800)*n^13 + (59179/34214400)*n^12 + (1397923/79833600)*n^11 + (117161/870912)*n^10 + (825457/1036800)*n^9 + (584642563/152409600)*n^8 + (98173459/7257600)*n^7 + (34767841/777600)*n^6 + (161988637/1814400)*n^5 + (3918685081/29937600)*n^4 - (1351991/44550)*n^3 - (53319445009/75675600)*n^2 - (347075779/180180)*n + 4742 for n>4

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 29 2013

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Last modified April 23 01:19 EDT 2024. Contains 371906 sequences. (Running on oeis4.)