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.

5, 50, 309, 2036, 14016, 100176, 729297, 5333386, 39000114, 285003038, 2082142574, 15211180773, 111130989409, 811933398770, 5932115487834, 43341007947078, 316656251375882, 2313539966133653, 16903085362643740, 123496604929203700

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