A301838 Number of nX5 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.

16, 263, 3182, 39703, 496085, 6196305, 77396422, 966770632, 12076215811, 150848052398, 1884295439869, 23537397007865, 294013935342365, 3672631985528460, 45876144707506920, 573055146404781265

Offset

1,1

Comments

Column 5 of A301841.

Links

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

Formula

Empirical: a(n) = 24*a(n-1) -201*a(n-2) +885*a(n-3) -2461*a(n-4) +4680*a(n-5) -6187*a(n-6) +5625*a(n-7) -3450*a(n-8) +1378*a(n-9) -324*a(n-10) +32*a(n-11) for n>13

Example

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

Crossrefs

Cf. A301841.

Sequence in context: A240368 A204715 A203841 * A302066 A281473 A302626

Adjacent sequences: A301835 A301836 A301837 * A301839 A301840 A301841

Keyword

nonn

Author

R. H. Hardin, Mar 27 2018

Status

approved