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A302208 Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
1, 13, 5, 7, 18, 55, 172, 575, 1962, 6756, 23400, 81288, 283089, 987275, 3444621, 12023434, 41982749, 146612525, 512036344, 1788383898, 6246509941, 21818284060, 76209472929, 266195826556, 929812279542, 3247807389634, 11344517688838 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A302212.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +12*a(n-3) -21*a(n-4) -18*a(n-5) -16*a(n-6) +14*a(n-7) +21*a(n-8) +37*a(n-9) -6*a(n-10) +25*a(n-11) +62*a(n-12) -20*a(n-13) -7*a(n-14) -75*a(n-15) -76*a(n-16) -51*a(n-17) +57*a(n-18) +43*a(n-19) +35*a(n-20) +30*a(n-21) -35*a(n-22) -27*a(n-23) +10*a(n-24) +2*a(n-25) +6*a(n-26) -2*a(n-28) for n>32

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A302212.

Sequence in context: A248146 A097484 A098326 * A068662 A235366 A166207

Adjacent sequences:  A302205 A302206 A302207 * A302209 A302210 A302211

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 03 2018

STATUS

approved

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Last modified May 26 17:16 EDT 2022. Contains 354092 sequences. (Running on oeis4.)