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A224151 Number of 7Xn 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing 1

%I #4 Mar 31 2013 14:23:50

%S 8,64,357,1536,5471,16885,46586,117510,275557,608423,1277544,2571226,

%T 4991541,9394324,17211567,30799955,53979914,92858530,157069847,

%U 261620888,429605663,696147855,1114062432,1761895136,2755216271,4262322913

%N Number of 7Xn 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing

%C Row 7 of A224146

%H R. H. Hardin, <a href="/A224151/b224151.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/87178291200)*n^14 + (1/4151347200)*n^13 + (1/136857600)*n^12 + (19/106444800)*n^11 + (53/12441600)*n^10 + (121/1382400)*n^9 + (1007857/609638400)*n^8 + (427321/29030400)*n^7 + (5519/62208)*n^6 + (217709/604800)*n^5 + (8736011/8553600)*n^4 + (1790117/950400)*n^3 + (90367957/37837800)*n^2 + (49717/40040)*n + 1

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 31 2013

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)