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A251396 Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements 1

%I #4 Dec 02 2014 13:42:41

%S 3205,165498,8558283,442476530,22875877611,1182680672547,

%T 61144538351375,3161169623507538,163432309835512202,

%U 8449442177310959014,436835734777161324276,22584385473987175705646,1167611590864504600763952

%N Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

%C Column 2 of A251402

%H R. H. Hardin, <a href="/A251396/b251396.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 64*a(n-1) -765*a(n-2) +7612*a(n-3) -52441*a(n-4) +214718*a(n-5) -593810*a(n-6) +1025324*a(n-7) -199793*a(n-8) -5621360*a(n-9) +22779258*a(n-10) -54455283*a(n-11) +92144141*a(n-12) -114989494*a(n-13) +108478582*a(n-14) -77963792*a(n-15) +41298509*a(n-16) -14996935*a(n-17) +2763273*a(n-18) +672602*a(n-19) -778511*a(n-20) +318339*a(n-21) -73291*a(n-22) +9681*a(n-23) -693*a(n-24) +25*a(n-25)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2014

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)