A258544 Number of (n+2) X (7+2) 0..1 arrays with no 3 X 3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum.

234848, 682276, 956736, 2414916, 3826716, 8773444, 15444224, 34739236, 68785192, 159314884, 350720544, 846460836, 2012239968, 5024257924, 12517516032, 31952992516, 81660135036, 211086951364, 546410190784, 1421755755876

Offset

1,1

Comments

Column 7 of A258545.

Links

R. H. Hardin, Table of n, a(n) for n = 1..156

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=1
..0..1..0..1..0..0..1..1..1....0..0..0..0..0..0..0..0..0
..0..1..0..1..1..0..1..1..0....0..1..1..1..1..1..1..1..1
..0..0..0..1..0..0..1..1..1....0..0..0..0..1..1..1..1..1

Crossrefs

Cf. A258545.

Sequence in context: A353634 A237239 A216056 * A249529 A346942 A132905

Adjacent sequences: A258541 A258542 A258543 * A258545 A258546 A258547

Keyword

nonn

Author

R. H. Hardin, Jun 02 2015

Status

approved