A297885 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.

8, 29, 26, 36, 84, 134, 223, 396, 638, 1173, 2157, 3812, 6922, 12304, 21936, 40412, 73746, 133407, 243158, 440979, 803278, 1473594, 2689801, 4905976, 8967627, 16372815, 29949905, 54844798, 100263893, 183363553, 335520346, 613789492

Offset

1,1

Comments

Column 4 of A297889.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) -3*a(n-4) -6*a(n-5) -6*a(n-6) -16*a(n-7) -11*a(n-8) +6*a(n-9) +60*a(n-10) +84*a(n-11) +44*a(n-12) -55*a(n-13) -155*a(n-14) -116*a(n-15) -26*a(n-16) +76*a(n-17) +47*a(n-18) +5*a(n-19) +9*a(n-20) +69*a(n-21) +139*a(n-22) +82*a(n-23) -18*a(n-24) -119*a(n-25) -105*a(n-26) -39*a(n-27) +14*a(n-28) +24*a(n-29) +10*a(n-30) for n>34

Example

Some solutions for n=7
..0..0..1..0. .0..1..0..0. .0..1..1..1. .0..1..1..1. .0..1..1..1
..1..0..1..1. .1..0..1..1. .0..1..0..1. .1..0..0..0. .0..1..0..1
..1..0..0..0. .1..0..0..0. .1..0..1..1. .1..0..0..1. .1..1..0..0
..0..0..1..1. .0..0..1..1. .0..1..0..0. .0..1..1..1. .1..1..0..0
..1..1..0..0. .1..1..0..0. .0..1..1..1. .1..1..0..0. .0..1..0..1
..0..0..0..1. .0..1..1..1. .1..0..1..0. .0..0..1..1. .1..0..1..0
..0..1..1..0. .1..0..0..1. .1..0..1..0. .0..1..0..1. .0..1..0..1

Crossrefs

Cf. A297889.

Sequence in context: A374138 A068623 A361585 * A298290 A298490 A299183

Adjacent sequences: A297882 A297883 A297884 * A297886 A297887 A297888

Keyword

nonn

Author

R. H. Hardin, Jan 07 2018

Status

approved