A297983 Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

1, 24, 7, 23, 34, 61, 105, 222, 428, 948, 1975, 4162, 8801, 18972, 40777, 87274, 186628, 400752, 861195, 1848299, 3966219, 8516004, 18291312, 39275134, 84334723, 181112426, 388976228, 835341271, 1793949896, 3852795878, 8274644467

Offset

1,2

Comments

Column 5 of A297986.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +6*a(n-4) -9*a(n-5) -15*a(n-6) +2*a(n-7) -9*a(n-8) +6*a(n-9) +34*a(n-10) +45*a(n-11) +6*a(n-12) -21*a(n-13) -39*a(n-14) +2*a(n-15) -8*a(n-16) -38*a(n-17) -7*a(n-18) +26*a(n-19) -24*a(n-20) -48*a(n-21) +28*a(n-22) +23*a(n-23) -37*a(n-24) -4*a(n-25) +88*a(n-26) +34*a(n-27) -14*a(n-28) +7*a(n-29) +24*a(n-30) -2*a(n-31) -23*a(n-32) -6*a(n-33) -4*a(n-34) -3*a(n-35) -2*a(n-36) -2*a(n-37) for n>43

Example

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

Crossrefs

Cf. A297986.

Sequence in context: A339007 A339008 A068613 * A298632 A241362 A363793

Adjacent sequences: A297980 A297981 A297982 * A297984 A297985 A297986

Keyword

nonn

Author

R. H. Hardin, Jan 10 2018

Status

approved