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A301997 Number of nX6 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1
5, 50, 309, 2036, 14016, 100176, 729297, 5333386, 39000114, 285003038, 2082142574, 15211180773, 111130989409, 811933398770, 5932115487834, 43341007947078, 316656251375882, 2313539966133653, 16903085362643740, 123496604929203700 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A301999.

LINKS

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

FORMULA

Empirical: a(n) = 37*a(n-1) -646*a(n-2) +7145*a(n-3) -56474*a(n-4) +340368*a(n-5) -1627864*a(n-6) +6344426*a(n-7) -20530229*a(n-8) +55921932*a(n-9) -129560648*a(n-10) +257379094*a(n-11) -441218290*a(n-12) +656019085*a(n-13) -849333774*a(n-14) +960248209*a(n-15) -949688428*a(n-16) +822086289*a(n-17) -622603894*a(n-18) +412123821*a(n-19) -238125530*a(n-20) +119900686*a(n-21) -52488320*a(n-22) +19925276*a(n-23) -6551781*a(n-24) +1868622*a(n-25) -461972*a(n-26) +97988*a(n-27) -17522*a(n-28) +2597*a(n-29) -306*a(n-30) +25*a(n-31) -a(n-32) for n>33

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A301999.

Sequence in context: A302695 A064054 A301821 * A227883 A227261 A036291

Adjacent sequences:  A301994 A301995 A301996 * A301998 A301999 A302000

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 30 2018

STATUS

approved

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Last modified August 15 15:43 EDT 2020. Contains 336504 sequences. (Running on oeis4.)