A295779 Number of nX6 0..1 arrays with each 1 adjacent to 0 or 2 king-move neighboring 1s.

21, 297, 2213, 25529, 262707, 2602065, 27085621, 276224518, 2819029784, 28899641330, 295437343180, 3022217370837, 30925095105256, 316343570292406, 3236407313791828, 33110664446316449, 338735015559436300

Offset

1,1

Comments

Column 6 of A295781.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +25*a(n-2) -54*a(n-3) -1950*a(n-4) -771*a(n-5) +17511*a(n-6) +47337*a(n-7) -9028*a(n-8) -267305*a(n-9) -239276*a(n-10) -317469*a(n-11) -96151*a(n-12) +93601*a(n-13) -2823773*a(n-14) +8974347*a(n-15) +15080690*a(n-16) -8251554*a(n-17) +13847286*a(n-18) +53084975*a(n-19) -4187575*a(n-20) -47624792*a(n-21) +61798212*a(n-22) +38117156*a(n-23) -94637807*a(n-24) +18477679*a(n-25) +72789985*a(n-26) -42141667*a(n-27) -29245294*a(n-28) +37728290*a(n-29) -5310570*a(n-30) -21624452*a(n-31) +10924920*a(n-32) +3789229*a(n-33) -6379194*a(n-34) -82479*a(n-35) +1496226*a(n-36) -350920*a(n-37) -274644*a(n-38) +61610*a(n-39) +10150*a(n-40) +3483*a(n-41) -74*a(n-42) +6*a(n-43)

Example

Some solutions for n=4
..0..1..0..1..0..0. .0..0..0..1..0..1. .0..0..1..0..1..0. .0..0..0..0..0..1
..0..0..0..0..0..0. .0..0..0..0..0..0. .1..0..0..0..1..1. .0..1..0..1..0..0
..0..1..1..0..0..1. .0..1..0..0..1..1. .0..0..1..0..0..0. .0..0..0..0..0..1
..0..1..0..0..0..0. .0..1..1..0..0..1. .0..0..1..1..0..0. .1..0..1..0..1..1

Crossrefs

Cf. A295781.

Sequence in context: A020570 A025940 A041844 * A021829 A019943 A021634

Adjacent sequences: A295776 A295777 A295778 * A295780 A295781 A295782

Keyword

nonn

Author

R. H. Hardin, Nov 27 2017

Status

approved