A258919 Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum equal to the central column sum

576, 1156, 1936, 4096, 9216, 17424, 30976, 66564, 141376, 264196, 501264, 1069156, 2166784, 4080400, 8065600, 16892100, 33362176, 63936016, 128867904, 264387600, 516925696, 1008570564, 2044124944, 4123951524, 8059730176, 15937042564

Offset

1,1

Comments

Column 2 of A258921

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +a(n-3) +14*a(n-4) -43*a(n-6) +3*a(n-7) -58*a(n-8) -44*a(n-9) +201*a(n-10) +33*a(n-11) +34*a(n-12) +42*a(n-13) -271*a(n-14) -191*a(n-15) -208*a(n-16) +352*a(n-17) +1001*a(n-18) +213*a(n-19) -574*a(n-20) -526*a(n-21) +129*a(n-22) -91*a(n-23) +66*a(n-24) +20*a(n-25) -7*a(n-26) +7*a(n-27) -a(n-28)

Example

Some solutions for n=4
..0..1..0..1....1..1..1..1....0..0..1..0....0..1..1..0....1..0..0..1
..0..1..0..1....0..0..0..0....1..1..1..0....0..0..1..0....0..1..0..0
..1..0..0..1....0..0..1..1....1..1..1..0....1..1..1..1....0..1..0..0
..1..1..0..0....1..0..0..1....0..0..1..0....0..0..0..1....1..1..0..1
..0..0..0..0....1..0..1..0....1..1..0..1....0..1..1..0....1..1..0..1
..1..0..1..0....0..1..1..1....0..0..0..1....1..0..0..0....0..1..0..0

Crossrefs

Cf. A258921

Sequence in context: A316486 A250775 A109101 * A064253 A069266 A060678

Adjacent sequences: A258916 A258917 A258918 * A258920 A258921 A258922

Keyword

nonn

Author

R. H. Hardin, Jun 14 2015

Status

approved