A300468 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 108, 925, 8608, 80914, 759100, 7121067, 66808673, 626787854, 5880428484, 55169285001, 517589818216, 4855948719471, 45557770236528, 427416051858041, 4009952208993844, 37620760026099796, 352952232638874508

Offset

1,1

Comments

Column 4 of A300472.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +6*a(n-2) -25*a(n-3) +20*a(n-4) +29*a(n-5) -96*a(n-6) -202*a(n-7) -25*a(n-8) +97*a(n-9) +311*a(n-10) +107*a(n-11) -106*a(n-12) +1300*a(n-13) -663*a(n-14) +910*a(n-15) -317*a(n-16) +343*a(n-17) -96*a(n-18) +57*a(n-19) -29*a(n-20) -4*a(n-22)

Example

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

Crossrefs

Cf. A300472.

Sequence in context: A164749 A264487 A048543 * A326101 A300807 A301446

Adjacent sequences: A300465 A300466 A300467 * A300469 A300470 A300471

Keyword

nonn

Author

R. H. Hardin, Mar 06 2018

Status

approved