A297398 Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.

1, 41, 139, 385, 3175, 14940, 58901, 325922, 1616869, 7303419, 36440971, 179690470, 852213260, 4150469302, 20279868193, 97720833639, 473767953000, 2303837003374, 11153405540217, 54053378441391, 262342164214663, 1271623035196752

Offset

1,2

Comments

Row 5 of A297395.

Links

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

Formula

Empirical: a(n) = a(n-1) +4*a(n-2) +69*a(n-3) +50*a(n-4) -a(n-5) -785*a(n-6) -696*a(n-7) -757*a(n-8) +2847*a(n-9) +1739*a(n-10) +270*a(n-11) -1916*a(n-12) -1560*a(n-13) -932*a(n-14) +1326*a(n-15) +652*a(n-16) +140*a(n-17) -373*a(n-18) -14*a(n-19) -28*a(n-20) +30*a(n-21)

Example

Some solutions for n=5
..0..1..1..0..0. .0..0..0..1..1. .0..0..1..0..0. .1..1..0..0..0
..0..0..0..0..0. .1..1..0..0..0. .1..0..0..1..0. .0..0..0..1..0
..1..0..0..0..0. .0..0..0..0..0. .0..1..0..0..0. .1..1..0..0..1
..0..1..0..1..0. .0..0..0..0..0. .0..0..0..1..1. .0..0..0..0..0
..0..0..0..0..1. .0..0..0..1..1. .0..0..0..0..0. .0..0..0..1..1

Crossrefs

Cf. A297395.

Sequence in context: A325069 A321890 A253682 * A142449 A044373 A044754

Adjacent sequences: A297395 A297396 A297397 * A297399 A297400 A297401

Keyword

nonn

Author

R. H. Hardin, Dec 29 2017

Status

approved