A301947 - OEIS

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A301947

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

2, 16, 123, 947, 7326, 56710, 439078, 3399722, 26323903, 203825456, 1578217598, 12220118582, 94620225492, 732643232114, 5672847473255, 43924787764759, 340109088005893, 2633460459021237, 20390851741033347, 157886112662767667

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OFFSET

1,1

COMMENTS

Column 4 of A301951.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -8*a(n-2) -14*a(n-3) +4*a(n-4) +4*a(n-5) -a(n-6)

EXAMPLE

Some solutions for n=5

..0..0..1..0. .0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..0..0

..0..1..0..1. .0..0..1..1. .1..1..0..1. .0..0..1..1. .0..1..0..1

..0..0..1..1. .0..0..0..1. .1..0..1..1. .0..1..1..1. .1..0..1..1

..0..1..0..0. .1..1..1..0. .0..0..0..1. .1..0..1..0. .0..0..1..0

..0..0..0..0. .1..1..0..0. .1..1..1..1. .0..1..0..0. .0..0..0..0

CROSSREFS

Cf. A301951.

Sequence in context: A209361 A341925 A229808 * A027309 A241466 A069868

Adjacent sequences: A301944 A301945 A301946 * A301948 A301949 A301950

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 29 2018

STATUS

approved