A301968 Number of 6Xn 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

32, 233, 252, 441, 874, 2544, 7795, 22456, 66659, 203926, 621905, 1891815, 5775564, 17661198, 53992136, 165070762, 504836902, 1544110348, 4722844581, 14445769443, 44186654928, 135159112990, 413428628386, 1264613037181, 3868263645434

Offset

1,1

Comments

Row 6 of A301964.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +15*a(n-3) -27*a(n-4) +16*a(n-5) -59*a(n-6) +50*a(n-7) -13*a(n-8) +119*a(n-9) +11*a(n-10) +12*a(n-11) -125*a(n-12) -138*a(n-13) -13*a(n-14) +57*a(n-15) +150*a(n-16) +52*a(n-17) -27*a(n-18) -87*a(n-19) -36*a(n-20) +14*a(n-21) +34*a(n-22) +11*a(n-23) -8*a(n-24) -7*a(n-25) -a(n-26) +2*a(n-27) for n>32

Example

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

Crossrefs

Cf. A301964.

Sequence in context: A269585 A199913 A301795 * A208641 A301889 A302085

Adjacent sequences: A301965 A301966 A301967 * A301969 A301970 A301971

Keyword

nonn

Author

R. H. Hardin, Mar 29 2018

Status

approved