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A258542 Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum 1

%I #4 Jun 02 2015 10:07:24

%S 25056,81796,142544,367236,726880,1784896,3826716,9302500,21443688,

%T 53027524,129029424,325730304,820227456,2103323044,5399925160,

%U 13983062500,36263854752,94418540176,246096476872,642572179236

%N Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

%C Column 5 of A258545

%H R. H. Hardin, <a href="/A258542/b258542.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +13*a(n-2) -42*a(n-3) -71*a(n-4) +255*a(n-5) +210*a(n-6) -885*a(n-7) -355*a(n-8) +1950*a(n-9) +305*a(n-10) -2865*a(n-11) +2865*a(n-13) -305*a(n-14) -1950*a(n-15) +355*a(n-16) +885*a(n-17) -210*a(n-18) -255*a(n-19) +71*a(n-20) +42*a(n-21) -13*a(n-22) -3*a(n-23) +a(n-24) for n>27

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A258545

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 02 2015

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)