A298961 Number of nX6 0..1 arrays with every element equal to 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 5, 5, 34, 91, 360, 1144, 4062, 13794, 47972, 164529, 567553, 1953217, 6732815, 23189914, 79894441, 275211747, 948122291, 3266225384, 11252104514, 38762888085, 133536840437, 460029356546, 1584785398981, 5459526766694

Offset

1,2

Comments

Column 6 of A298963.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) -3*a(n-3) +14*a(n-4) -44*a(n-5) -22*a(n-6) -27*a(n-7) +33*a(n-8) +210*a(n-9) +164*a(n-10) +294*a(n-11) -198*a(n-12) -391*a(n-13) -686*a(n-14) -638*a(n-15) +36*a(n-16) +450*a(n-17) +656*a(n-18) +232*a(n-19) +286*a(n-20) -8*a(n-21) +96*a(n-22) -142*a(n-23) +20*a(n-24) -196*a(n-25) -32*a(n-26) +16*a(n-27) +24*a(n-28) -32*a(n-29) +16*a(n-30)

Example

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

Crossrefs

Cf. A298963.

Sequence in context: A270278 A270725 A317812 * A298721 A299555 A160608

Adjacent sequences: A298958 A298959 A298960 * A298962 A298963 A298964

Keyword

nonn

Author

R. H. Hardin, Jan 30 2018

Status

approved