A305949 Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

1, 8, 23, 107, 537, 2800, 14652, 77128, 406622, 2146188, 11333438, 59863786, 316248100, 1670789296, 8827362224, 46638933714, 246416884814, 1301950664178, 6878911947762, 36345074634940, 192031153782354, 1014607291471240

Offset

1,2

Comments

Column 3 of A305954.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +7*a(n-2) -13*a(n-3) -88*a(n-4) -25*a(n-5) +177*a(n-6) +214*a(n-7) +73*a(n-8) -188*a(n-9) -194*a(n-10) -92*a(n-11) -26*a(n-12) -26*a(n-13) -18*a(n-14) +16*a(n-15) +8*a(n-16) for n>17

Example

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

Crossrefs

Cf. A305954.

Sequence in context: A320310 A303720 A304414 * A220973 A233470 A334720

Adjacent sequences: A305946 A305947 A305948 * A305950 A305951 A305952

Keyword

nonn

Author

R. H. Hardin, Jun 15 2018

Status

approved