A302067 Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

32, 855, 18108, 420121, 9825815, 230634314, 5420105343, 127431664603, 2996509042607, 70465921482502, 1657112387922219, 38969801181371093, 916443418379800057, 21551801320879128359, 506829233952227257653

Offset

1,1

Comments

Column 6 of A302069.

Links

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

Formula

Empirical: a(n) = 64*a(n-1) -1690*a(n-2) +25482*a(n-3) -252419*a(n-4) +1780964*a(n-5) -9433881*a(n-6) +38861751*a(n-7) -127364033*a(n-8) +336753119*a(n-9) -724264377*a(n-10) +1273619361*a(n-11) -1838285081*a(n-12) +2185709769*a(n-13) -2148857927*a(n-14) +1752766341*a(n-15) -1188289983*a(n-16) +668874578*a(n-17) -311073351*a(n-18) +118346399*a(n-19) -36213453*a(n-20) +8679164*a(n-21) -1564108*a(n-22) +198432*a(n-23) -15696*a(n-24) +576*a(n-25) for n>27

Example

Some solutions for n=5
..0..0..1..1..0..0. .0..0..1..0..0..1. .0..0..1..0..1..1. .0..0..1..0..0..1
..0..0..1..0..1..1. .0..0..1..0..1..1. .0..0..1..0..0..1. .0..0..1..0..1..1
..0..0..1..0..1..1. .0..0..1..0..1..1. .0..1..1..0..1..0. .0..1..1..0..1..1
..0..0..1..0..0..0. .0..0..0..0..1..0. .0..0..1..0..1..0. .0..1..0..0..1..0
..0..1..0..1..1..0. .1..0..1..0..1..0. .0..1..1..0..1..0. .1..1..1..0..0..1

Crossrefs

Cf. A302069.

Sequence in context: A220460 A203957 A301839 * A281474 A302627 A302419

Adjacent sequences: A302064 A302065 A302066 * A302068 A302069 A302070

Keyword

nonn

Author

R. H. Hardin, Mar 31 2018

Status

approved