A300961 Number of n X 3 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

1, 5, 16, 44, 159, 580, 2145, 8034, 30017, 113054, 426489, 1609240, 6078735, 22967236, 86790502, 328025891, 1239827639, 4686314366, 17713839936, 66957270615, 253096517486, 956701365708, 3616324822124, 13669703752446

Offset

1,2

Comments

Column 3 of A300966.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +5*a(n-2) +2*a(n-3) -30*a(n-4) -29*a(n-5) -3*a(n-6) +26*a(n-7) +89*a(n-8) +79*a(n-9) -20*a(n-10) -52*a(n-11) -28*a(n-12) +96*a(n-13) +12*a(n-14) +4*a(n-15) -39*a(n-16) -17*a(n-17) -4*a(n-18) -3*a(n-19) +7*a(n-20) -3*a(n-21) +2*a(n-22) for n > 24.

Example

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

Crossrefs

Cf. A300966.

Sequence in context: A144952 A053220 A048777 * A270134 A269754 A282425

Adjacent sequences: A300958 A300959 A300960 * A300962 A300963 A300964

Keyword

nonn

Author

R. H. Hardin, Mar 17 2018

Status

approved