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A251225 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements 1

%I #4 Nov 30 2014 20:39:47

%S 2084,72985,2515011,87024544,3007738372,103986727042,3594807908974,

%T 124275144041759,4296252165879236,148523812761431640,

%U 5134547519926425245,177504075991625903000,6136411350172751480986,212139042310887309043390

%N Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 5 of A251228

%H R. H. Hardin, <a href="/A251225/b251225.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) +554*a(n-2) -1341*a(n-3) -56723*a(n-4) -7614*a(n-5) +2277951*a(n-6) +445571*a(n-7) -46434220*a(n-8) +32482888*a(n-9) +467723527*a(n-10) -889155765*a(n-11) -1188153000*a(n-12) +4147652079*a(n-13) -132672964*a(n-14) -8042725671*a(n-15) +4499239992*a(n-16) +7457116236*a(n-17) -6933658033*a(n-18) -3126154333*a(n-19) +4558838720*a(n-20) +384337441*a(n-21) -1441277326*a(n-22) +61108155*a(n-23) +221926922*a(n-24) -13300621*a(n-25) -18641195*a(n-26) -491525*a(n-27) +335825*a(n-28) +5625*a(n-29)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014

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Last modified June 2 02:01 EDT 2023. Contains 363081 sequences. (Running on oeis4.)