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A255796 Number of (n+2) X (3+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 #7 Dec 19 2018 09:04:23

%S 210,178,158,198,256,258,329,344,392,456,597,638,805,892,1028,1144,

%T 1493,1622,2021,2268,2636,2864,3713,4038,4981,5580,6524,6992,9009,

%U 9766,11957,13324,15644,16624,21313,23014,28021,31052,36572,38640,49345,53094,64373

%N Number of (n+2) X (3+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="/A255796/b255796.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-6) - 8*a(n-12) + 4*a(n-18) for n>20.

%F Empirical g.f.: x*(210 + 178*x + 158*x^2 + 198*x^3 + 256*x^4 + 258*x^5 - 721*x^6 - 546*x^7 - 398*x^8 - 534*x^9 - 683*x^10 - 652*x^11 + 840*x^12 + 596*x^13 + 332*x^14 + 448*x^15 + 556*x^16 + 496*x^17 - 212*x^18 - 152*x^19) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^6)^2). - _Colin Barker_, Dec 19 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 3 of A255801.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 06 2015

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)