A317731 Number of nX6 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

5, 1493, 72715, 4458098, 270714329, 16360102553, 990049380944, 59904290609773, 3624564255839937, 219309111737110854, 13269573558091260157, 802892297329430609019, 48580013132214751654738, 2939395064097986123242719

Offset

1,1

Comments

Column 6 of A317733.

Links

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

Formula

Empirical: a(n) = 45*a(n-1) +776*a(n-2) +9640*a(n-3) +11938*a(n-4) -46949*a(n-5) -1966523*a(n-6) +1354973*a(n-7) -9576908*a(n-8) +141543400*a(n-9) -271656698*a(n-10) +909890385*a(n-11) -4460190650*a(n-12) +8530251024*a(n-13) -19830566129*a(n-14) +56230257553*a(n-15) -81433629393*a(n-16) +127312941405*a(n-17) -242163814611*a(n-18) +217850354046*a(n-19) -192700595376*a(n-20) +299353221693*a(n-21) -157834362852*a(n-22) +94042943532*a(n-23) -184653585396*a(n-24) +41668423407*a(n-25) -18855806130*a(n-26) +59135015790*a(n-27) -3048983775*a(n-28) +1013287185*a(n-29) -9586176525*a(n-30) -278563725*a(n-31) +75157875*a(n-32) +649046250*a(n-33) -15795000*a(n-34) -22275000*a(n-35) -20250000*a(n-36)

Example

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

Crossrefs

Cf. A317733.

Sequence in context: A305690 A317070 A316951 * A259867 A169620 A181992

Adjacent sequences: A317728 A317729 A317730 * A317732 A317733 A317734

Keyword

nonn

Author

R. H. Hardin, Aug 05 2018

Status

approved