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 A255798 Number of (n+2) X (5+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3. 1

%I #8 Dec 20 2018 09:08:27

%S 733,340,256,268,286,290,472,630,674,748,814,866,1540,2190,2414,2668,

%T 2926,3170,5812,8430,9374,10348,11374,12386,22900,33390,37214,41068,

%U 45166,49250,91252,133230,148574,163948,180334,196706,364660,532590

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

%H R. H. Hardin, <a href="/A255798/b255798.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-6) - 4*a(n-12) for n>15.

%F Empirical g.f.: x*(733 + 340*x + 256*x^2 + 268*x^3 + 286*x^4 + 290*x^5 - 3193*x^6 - 1070*x^7 - 606*x^8 - 592*x^9 - 616*x^10 - 584*x^11 + 2112*x^12 + 400*x^13 + 68*x^14) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^3)*(1 + 2*x^3)). - _Colin Barker_, Dec 20 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 5 of A255801.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 06 2015

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Last modified September 22 04:42 EDT 2023. Contains 365503 sequences. (Running on oeis4.)