A297610 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s.

16, 106, 953, 6413, 49198, 368007, 2781983, 20760904, 155877622, 1169298420, 8774376759, 65804658731, 493649477081, 3703114934662, 27779195236004, 208382324834711, 1563175568610503, 11726117006881525, 87963141550618932

Offset

1,1

Comments

Row 4 of A297607.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +23*a(n-2) +72*a(n-3) +429*a(n-4) +561*a(n-5) -800*a(n-6) -197*a(n-7) -3464*a(n-8) -3732*a(n-9) +16662*a(n-10) -9202*a(n-11) -60068*a(n-12) +49640*a(n-13) +96401*a(n-14) -135437*a(n-15) -55052*a(n-16) +244878*a(n-17) +36*a(n-18) -292197*a(n-19) +155850*a(n-20) +404250*a(n-21) -152837*a(n-22) -453526*a(n-23) -102914*a(n-24) +219408*a(n-25) +94484*a(n-26) -19094*a(n-27) -35125*a(n-28) -17407*a(n-29) +3583*a(n-30) +4202*a(n-31) +1102*a(n-32) +108*a(n-33) -64*a(n-34)

Example

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

Crossrefs

Cf. A297607.

Sequence in context: A081588 A276159 A097762 * A083469 A224160 A224411

Adjacent sequences: A297607 A297608 A297609 * A297611 A297612 A297613

Keyword

nonn

Author

R. H. Hardin, Jan 01 2018

Status

approved