A305043 Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 13, 9, 11, 20, 17, 25, 70, 67, 101, 292, 325, 485, 1318, 1679, 2521, 6284, 8945, 13753, 31542, 48955, 77781, 166412, 275213, 452509, 918598, 1587071, 2691137, 5266372, 9359801, 16275257, 31095926, 56231123, 99669125, 187634916, 342748925

Offset

1,2

Comments

Column 4 of A305047.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +4*a(n-3) -12*a(n-4) +6*a(n-5) +2*a(n-6) +3*a(n-7) -3*a(n-9) for n>13

Example

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

Crossrefs

Cf. A305047.

Sequence in context: A300377 A300679 A304137 * A066552 A206609 A281085

Adjacent sequences: A305040 A305041 A305042 * A305044 A305045 A305046

Keyword

nonn

Author

R. H. Hardin, May 24 2018

Status

approved