A299725 Number of nX5 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

3, 236, 7664, 217069, 6354153, 187530622, 5526277711, 162794536467, 4795915172530, 141289582299360, 4162438937332514, 122626772119503256, 3612623896010104071, 106429057925417300434, 3135434152013912974775

Offset

1,1

Comments

Column 5 of A299728.

Links

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

Formula

Empirical: a(n) = 22*a(n-1) +157*a(n-2) +1491*a(n-3) +9480*a(n-4) +29876*a(n-5) +63228*a(n-6) -17768*a(n-7) -833314*a(n-8) -2207785*a(n-9) -901039*a(n-10) +5691125*a(n-11) +14708702*a(n-12) +9319019*a(n-13) -22160533*a(n-14) -24751369*a(n-15) +14457803*a(n-16) +1911949*a(n-17) -14153634*a(n-18) +4567365*a(n-19) -27529221*a(n-20) -7878596*a(n-21) +43578489*a(n-22) +9438865*a(n-23) +1746916*a(n-24) +10165607*a(n-25) -8616082*a(n-26) -3652977*a(n-27) -45078*a(n-28) -2521039*a(n-29) -312834*a(n-30) -87388*a(n-31) -188827*a(n-32) -267083*a(n-33) -111256*a(n-34) -149830*a(n-35) -44324*a(n-36) -1768*a(n-37) -2160*a(n-38) +2880*a(n-39) for n>40

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..1. .0..0..0..0..1. .0..1..0..1..0. .0..0..0..0..1
..1..0..0..1..0. .0..0..1..1..0. .0..1..0..0..1. .1..1..0..1..1
..0..1..0..1..0. .1..1..0..0..1. .0..1..0..0..0. .1..0..0..0..1
..1..0..0..0..1. .1..1..0..0..0. .0..0..1..1..1. .0..0..0..1..0

Crossrefs

Cf. A299728.

Sequence in context: A299934 A299064 A299836 * A278318 A103062 A157723

Adjacent sequences: A299722 A299723 A299724 * A299726 A299727 A299728

Keyword

nonn

Author

R. H. Hardin, Feb 17 2018

Status

approved