A299874 Number of n X 3 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 13, 20, 41, 102, 253, 632, 1563, 3896, 9791, 24572, 61631, 154742, 388577, 975708, 2450385, 6154002, 15455231, 38815904, 97487349, 244842342, 614933595, 1544442076, 3878963103, 9742282792, 24468455765, 61454383034, 154347516727

Offset

1,1

Comments

Column 3 of A299879.

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) +7*a(n-3) -24*a(n-4) +31*a(n-5) -21*a(n-6) +51*a(n-7) -50*a(n-8) +44*a(n-9) -78*a(n-10) +34*a(n-11) -37*a(n-12) +60*a(n-13) -10*a(n-14) +20*a(n-15) -24*a(n-16) for n>17.

Example

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

Crossrefs

Cf. A299879.

Sequence in context: A295159 A298216 A299092 * A299010 A299801 A299677

Adjacent sequences: A299871 A299872 A299873 * A299875 A299876 A299877

Keyword

nonn

Author

R. H. Hardin, Feb 21 2018

Status

approved