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

25056, 81796, 142544, 367236, 726880, 1784896, 3826716, 9302500, 21443688, 53027524, 129029424, 325730304, 820227456, 2103323044, 5399925160, 13983062500, 36263854752, 94418540176, 246096476872, 642572179236

Offset

1,1

Comments

Column 5 of A258545

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

Some solutions for n=3
..0..1..0..1..0..0..0....1..1..0..1..0..0..0....1..1..0..1..0..0..1
..1..1..0..1..0..1..0....1..1..1..1..1..0..0....1..1..1..1..1..0..1
..0..1..0..1..0..1..0....0..0..0..0..0..0..1....1..0..0..0..0..0..1
..1..0..0..1..0..1..1....0..0..1..1..1..0..1....0..1..1..1..1..0..1
..0..1..0..1..0..1..1....0..0..0..1..0..1..1....1..0..0..0..0..1..1

Crossrefs

Cf. A258545

Sequence in context: A263815 A125268 A212726 * A205041 A252614 A253530

Adjacent sequences: A258539 A258540 A258541 * A258543 A258544 A258545

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved