A280603 Number of nX7 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

64, 1063, 1844, 3996, 8031, 15792, 31152, 62349, 126893, 261994, 546766, 1149413, 2427843, 5143554, 10917253, 23198800, 49332659, 104956473, 223368832, 475481120, 1012314087, 2155517167, 4590184433, 9775585448, 20820112373

Offset

1,1

Comments

Column 7 of A280604.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) +2*a(n-8) -2*a(n-9) -3*a(n-10) +5*a(n-11) -a(n-12) -a(n-13) -a(n-16) +a(n-17) for n>22

Example

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

Crossrefs

Cf. A280604.

Sequence in context: A231952 A223018 A221247 * A301322 A300497 A300936

Adjacent sequences: A280600 A280601 A280602 * A280604 A280605 A280606

Keyword

nonn

Author

R. H. Hardin, Jan 06 2017

Status

approved