A303424 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

16, 512, 15684, 480960, 14783632, 454377792, 13963574592, 429120257920, 13187561948672, 405274990273152, 12454747469604352, 382754285816985088, 11762650890909921792, 361485059270954623488, 11109013532532411652096

Offset

1,1

Comments

Row 5 of A303421.

Links

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

Formula

Empirical: a(n) = 24*a(n-1) +128*a(n-2) +1992*a(n-3) +12020*a(n-4) +34880*a(n-5) +114640*a(n-6) -50896*a(n-7) -1751680*a(n-8) -2941888*a(n-9) +1000832*a(n-10) +4564992*a(n-11) +15197184*a(n-12) +31211520*a(n-13) +9373696*a(n-14) -4317184*a(n-15) -8290304*a(n-16) -40501248*a(n-17) -3145728*a(n-18) +16777216*a(n-19)

Example

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

Crossrefs

Cf. A303421.

Sequence in context: A213415 A303418 A301404 * A317514 A300179 A013825

Adjacent sequences: A303421 A303422 A303423 * A303425 A303426 A303427

Keyword

nonn

Author

R. H. Hardin, Apr 23 2018

Status

approved