A299717 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 42, 246, 2545, 23877, 242107, 2501312, 26078075, 273889895, 2882907875, 30394399694, 320657578263, 3384095560949, 35720637784327, 377078563204650, 3980732189348259, 42024536489585919, 443657010445417107

Offset

1,2

Comments

Column 4 of A299721.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +44*a(n-2) -186*a(n-3) -1221*a(n-4) +156*a(n-5) +9699*a(n-6) +14960*a(n-7) -15407*a(n-8) -46797*a(n-9) -1187*a(n-10) +28697*a(n-11) -25428*a(n-12) -18867*a(n-13) +67794*a(n-14) +66617*a(n-15) -8752*a(n-16) -51730*a(n-17) +42893*a(n-18) +63252*a(n-19) -140416*a(n-20) +57616*a(n-21) +57477*a(n-22) -80074*a(n-23) +26843*a(n-24) +12625*a(n-25) -17270*a(n-26) +4134*a(n-27) +2224*a(n-28) -600*a(n-29) for n>30

Example

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

Crossrefs

Cf. A299721.

Sequence in context: A221426 A122242 A046655 * A156357 A300338 A064369

Adjacent sequences: A299714 A299715 A299716 * A299718 A299719 A299720

Keyword

nonn

Author

R. H. Hardin, Feb 17 2018

Status

approved