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A283854 Number of nX5 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors. 1
32, 896, 19220, 456316, 10741381, 252014450, 5921518755, 139111379622, 3268007622399, 76773433462839, 1803586222018838, 42370441245079992, 995380616617115988, 23383813210579507551, 549340337215663375578 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A283857.

LINKS

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

FORMULA

Empirical: a(n) = 23*a(n-1) -20*a(n-2) +871*a(n-3) -3216*a(n-4) +12410*a(n-5) -196251*a(n-6) +18223*a(n-7) -111951*a(n-8) +10566019*a(n-9) -379758*a(n-10) -29318597*a(n-11) -68873066*a(n-12) -13075275*a(n-13) +702265246*a(n-14) -1680199852*a(n-15) +1502739869*a(n-16) -1131342481*a(n-17) +1656336978*a(n-18) -3098757750*a(n-19) -2612258372*a(n-20) +7642998790*a(n-21) -2471884270*a(n-22) -4196471650*a(n-23) -11119947863*a(n-24) +11529885934*a(n-25) +6320588578*a(n-26) -10041080481*a(n-27) -6827068116*a(n-28) +829785163*a(n-29) +6155224868*a(n-30) -3673842669*a(n-31) -1264238338*a(n-32) +3187856436*a(n-33) -455416551*a(n-34) -670910396*a(n-35) +183630468*a(n-36) +38727044*a(n-37) +18800520*a(n-38) -26394168*a(n-39) +2968096*a(n-40) +1302416*a(n-41) -126240*a(n-42) +69696*a(n-43) -30464*a(n-44) +512*a(n-45)

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Cf. A283857.

Sequence in context: A240482 A240634 A222606 * A160314 A241223 A283412

Adjacent sequences:  A283851 A283852 A283853 * A283855 A283856 A283857

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 17 2017

STATUS

approved

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Last modified January 16 13:05 EST 2022. Contains 350376 sequences. (Running on oeis4.)