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A302209 Number of nX5 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, 34, 32, 111, 448, 1725, 6423, 24927, 96909, 373007, 1440865, 5580691, 21589993, 83526057, 323320869, 1251515211, 4844117367, 18751251811, 72587463435, 280991282231, 1087753936319, 4210898294795, 16301265698437, 63105914070197 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A302212.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -16*a(n-2) +43*a(n-3) -167*a(n-4) +289*a(n-5) -491*a(n-6) +1395*a(n-7) -1918*a(n-8) +2105*a(n-9) -4845*a(n-10) +5894*a(n-11) -2484*a(n-12) +7527*a(n-13) -10198*a(n-14) -8382*a(n-15) -6549*a(n-16) +12610*a(n-17) +32961*a(n-18) +12280*a(n-19) -7213*a(n-20) -49277*a(n-21) -21675*a(n-22) -15454*a(n-23) +41277*a(n-24) +12068*a(n-25) +27412*a(n-26) -15746*a(n-27) +1598*a(n-28) -14336*a(n-29) +2718*a(n-30) -5912*a(n-31) +3644*a(n-32) -1164*a(n-33) +2304*a(n-34) -272*a(n-35) +160*a(n-36) -192*a(n-37) for n>41

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A302212.

Sequence in context: A298894 A204632 A098023 * A022990 A023476 A104685

Adjacent sequences:  A302206 A302207 A302208 * A302210 A302211 A302212

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 03 2018

STATUS

approved

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Last modified January 24 21:49 EST 2022. Contains 350565 sequences. (Running on oeis4.)