A326101 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 108, 929, 8628, 81088, 760989, 7140349, 67004116, 628759699, 5900226292, 55367209521, 519561060022, 4875515579106, 45751412134945, 429327253573823, 4028769432048059, 37805620308254748, 354764637439887326

Offset

1,1

Comments

Column 4 of A326105.

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) +45*a(n-5) -90*a(n-6) -223*a(n-7) -120*a(n-8) -31*a(n-9) +380*a(n-10) +330*a(n-11) -63*a(n-12) +1212*a(n-13) +225*a(n-14) +584*a(n-15) +203*a(n-16) +317*a(n-17) +57*a(n-18) +86*a(n-19) -5*a(n-20) +4*a(n-21) -4*a(n-22)

Example

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

Crossrefs

Cf. A326105.

Sequence in context: A264487 A048543 A300468 * A300807 A301446 A363476

Adjacent sequences: A326098 A326099 A326100 * A326102 A326103 A326104

Keyword

nonn

Author

R. H. Hardin, Jun 06 2019

Status

approved