A317515 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

32, 2048, 129042, 8130048, 512358002, 32289056648, 2034862700902, 128237436273216, 8081548422775938, 509300770095213792, 32096234590589887702, 2022711009551760587688, 127471645208784999144866

Offset

1,1

Comments

Column 6 of A317517.

Links

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

Formula

Empirical: a(n) = 62*a(n-1) -37*a(n-2) +6238*a(n-3) +7205*a(n-4) +120122*a(n-5) +246565*a(n-6) -851302*a(n-7) -1660644*a(n-8) +1369696*a(n-9) +3047908*a(n-10) -212352*a(n-11) -1803988*a(n-12) -379248*a(n-13) +287184*a(n-14) +90720*a(n-15)

Example

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

Crossrefs

Cf. A317517.

Sequence in context: A303419 A301405 A303425 * A300180 A277426 A159364

Adjacent sequences: A317512 A317513 A317514 * A317516 A317517 A317518

Keyword

nonn

Author

R. H. Hardin, Jul 30 2018

Status

approved