A301405 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

32, 2048, 123676, 7541492, 459428416, 27990353344, 1705287652128, 103893157740576, 6329599807409536, 385625333533228368, 23493886255860917840, 1431344477092250906240, 87203410700110332387280

Offset

1,1

Comments

Column 6 of A301407.

Links

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

Formula

Empirical: a(n) = 45*a(n-1) +932*a(n-2) +2781*a(n-3) -26329*a(n-4) -94964*a(n-5) +399476*a(n-6) +777092*a(n-7) -3601272*a(n-8) +1655504*a(n-9) +4688480*a(n-10) -2961536*a(n-11) -4539088*a(n-12) +5974784*a(n-13) -5852480*a(n-14) +6635520*a(n-15) -1321984*a(n-16) -1279744*a(n-17) -1724416*a(n-18) +910336*a(n-19) +442368*a(n-20) -65536*a(n-22) for n>23

Example

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

Crossrefs

Cf. A301407.

Sequence in context: A299652 A300206 A303419 * A303425 A317515 A300180

Adjacent sequences: A301402 A301403 A301404 * A301406 A301407 A301408

Keyword

nonn

Author

R. H. Hardin, Mar 20 2018

Status

approved