A302168 Number of 6Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

32, 42, 57, 156, 280, 635, 1247, 2815, 5524, 12457, 25230, 55645, 113410, 249611, 517232, 1123390, 2334467, 5059272, 10608909, 22830143, 47940869, 102999865, 217358333, 465280120, 982600249, 2101097147, 4449151154, 9495603067

Offset

1,1

Comments

Row 6 of A302163.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-3) +20*a(n-4) -16*a(n-5) -37*a(n-6) +15*a(n-7) -129*a(n-8) +82*a(n-9) +223*a(n-10) -69*a(n-11) +417*a(n-12) -193*a(n-13) -636*a(n-14) +100*a(n-15) -762*a(n-16) +265*a(n-17) +957*a(n-18) +8*a(n-19) +818*a(n-20) -220*a(n-21) -784*a(n-22) -149*a(n-23) -528*a(n-24) +97*a(n-25) +358*a(n-26) +138*a(n-27) +187*a(n-28) -18*a(n-29) -91*a(n-30) -46*a(n-31) -22*a(n-32) +2*a(n-33) +8*a(n-34) +4*a(n-35) for n>45

Example

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

Crossrefs

Cf. A302163.

Sequence in context: A167309 A159007 A114042 * A104390 A302639 A302431

Adjacent sequences: A302165 A302166 A302167 * A302169 A302170 A302171

Keyword

nonn

Author

R. H. Hardin, Apr 02 2018

Status

approved