A302013 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

32, 2048, 102544, 5251712, 270422672, 13918667808, 716213306576, 36855939211024, 1896586295277648, 97597270837054224, 5022300954243143056, 258444799126059320912, 13299424846991854883856, 684380966051831909223120

Offset

1,1

Comments

Row 6 of A302010.

Links

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

Formula

Empirical: a(n) = 45*a(n-1) +440*a(n-2) -4668*a(n-3) -49576*a(n-4) +197580*a(n-5) +2795936*a(n-6) -3781008*a(n-7) -97523056*a(n-8) -6960896*a(n-9) +2313353024*a(n-10) +2353946368*a(n-11) -38952213248*a(n-12) -68946156544*a(n-13) +469674602496*a(n-14) +1166484488192*a(n-15) -4011898028032*a(n-16) -13000611725312*a(n-17) +23803001700352*a(n-18) +96037532336128*a(n-19) -96814282047488*a(n-20) -437118374510592*a(n-21) +274926149828608*a(n-22) +925486406434816*a(n-23) -288890606845952*a(n-24) -614211193405440*a(n-25) +209461260058624*a(n-26) +342302451040256*a(n-27) -267232865157120*a(n-28) -144860656959488*a(n-29) +79989470920704*a(n-30) +56075093016576*a(n-31) -15393162788864*a(n-32) for n>36

Example

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

Crossrefs

Cf. A302010.

Sequence in context: A303454 A303460 A301441 * A302008 A301782 A316806

Adjacent sequences: A302010 A302011 A302012 * A302014 A302015 A302016

Keyword

nonn

Author

R. H. Hardin, Mar 30 2018

Status

approved