A280601 Number of nX5 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.

16, 138, 293, 726, 1648, 3647, 8031, 17745, 39427, 87996, 197061, 442244, 993767, 2234762, 5027590, 11313252, 25460562, 57302892, 128973259, 290288833, 653378497, 1470622856, 3310082220, 7450351382, 16769302007, 37744471304

Offset

1,1

Comments

Column 5 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-6) -2*a(n-7) -3*a(n-8) +5*a(n-9) -a(n-10) -a(n-11) -a(n-12) +a(n-13) for n>15

Example

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

Crossrefs

Cf. A280604.

Sequence in context: A329370 A351698 A114182 * A301320 A300495 A300934

Adjacent sequences: A280598 A280599 A280600 * A280602 A280603 A280604

Keyword

nonn

Author

R. H. Hardin, Jan 06 2017

Status

approved