A297633 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.

8, 69, 374, 2370, 16508, 109790, 740555, 5099557, 35164860, 243349752, 1692155321, 11793110356, 82320111334, 575444883737, 4026374990333, 28190847306569, 197477547407507, 1383825689115547, 9699593987871364, 67999308521067033

Offset

1,1

Comments

Column 4 of A297637.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -16*a(n-2) +17*a(n-3) -420*a(n-4) +135*a(n-5) +1327*a(n-6) +4336*a(n-7) -694*a(n-8) -15279*a(n-9) -10981*a(n-10) +404*a(n-11) +40459*a(n-12) -13777*a(n-13) +22550*a(n-14) -36418*a(n-15) +52915*a(n-16) -4748*a(n-17) +32966*a(n-18) -20825*a(n-19) -12528*a(n-20) -20241*a(n-21) -6739*a(n-22) +1558*a(n-23) +1055*a(n-24) +522*a(n-25) -335*a(n-26) +575*a(n-27) +249*a(n-28) +201*a(n-29) -40*a(n-30) -29*a(n-31) -12*a(n-32)

Example

Some solutions for n=6
..0..1..1..1. .0..1..1..0. .0..1..1..1. .1..1..1..0. .0..0..1..1
..0..0..1..0. .1..1..0..0. .0..0..1..1. .0..1..0..0. .1..0..1..1
..1..0..0..0. .1..1..0..1. .0..0..0..0. .0..0..0..0. .0..0..1..1
..1..0..0..1. .0..0..0..0. .0..0..0..1. .1..0..0..1. .0..0..1..0
..1..0..0..0. .0..1..1..0. .0..0..0..1. .0..0..0..0. .1..0..1..1
..0..0..0..0. .0..1..1..1. .0..1..0..0. .1..0..0..1. .1..0..1..1

Crossrefs

Cf. A297637.

Sequence in context: A087487 A178368 A111156 * A152279 A015575 A214344

Adjacent sequences: A297630 A297631 A297632 * A297634 A297635 A297636

Keyword

nonn

Author

R. H. Hardin, Jan 02 2018

Status

approved