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A255088 Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0 1

%I #4 Feb 14 2015 10:46:22

%S 3658,4405,8631,24034,70938,211945,644545,1975790,5959612,17859777,

%T 54088734,164536929,504055531,1549704102,4715077907,14275563536,

%U 43348350478,131770446808,402647526074,1233717507915,3759693002179

%N Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

%C Column 5 of A255091

%H R. H. Hardin, <a href="/A255088/b255088.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +17*a(n-3) -37*a(n-4) +19*a(n-5) +415*a(n-6) -469*a(n-7) -323*a(n-8) -7131*a(n-9) +8173*a(n-10) +5833*a(n-11) -19533*a(n-12) +13435*a(n-13) +5312*a(n-14) +236241*a(n-15) -243777*a(n-16) -104880*a(n-17) +140460*a(n-18) -32856*a(n-19) +22328*a(n-20) -687820*a(n-21) +670596*a(n-22) -453340*a(n-23) +335929*a(n-24) +108738*a(n-25) -42419*a(n-26) +2206909*a(n-27) -2155874*a(n-28) +844778*a(n-29) -969478*a(n-30) +124513*a(n-31) +110628*a(n-32) +2023531*a(n-33) -2132395*a(n-34) -2226420*a(n-35) +2064996*a(n-36) +164844*a(n-37) +196992*a(n-38) +2508228*a(n-39) -2716164*a(n-40) -3950784*a(n-41) +3950784*a(n-42) for n>51

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255091

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2015

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)