A299664 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

8, 121, 1080, 10363, 100823, 974646, 9424684, 91234133, 882982660, 8545557422, 82709153941, 800507893510, 7747773468962, 74987612346498, 725775442734876, 7024493076345700, 67987297322596764, 658022257178157977

Offset

1,1

Comments

Column 4 of A299668.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +a(n-2) +31*a(n-3) -636*a(n-4) -701*a(n-5) +820*a(n-6) +11910*a(n-7) +16436*a(n-8) -26642*a(n-9) -86995*a(n-10) -186911*a(n-11) +329595*a(n-12) +155354*a(n-13) +1326652*a(n-14) -2146505*a(n-15) +1375067*a(n-16) -6071189*a(n-17) +7346058*a(n-18) -8106363*a(n-19) +14679031*a(n-20) -11397484*a(n-21) +14203441*a(n-22) -12222436*a(n-23) +1200199*a(n-24) +791745*a(n-25) -5194748*a(n-26) +9667214*a(n-27) -11972939*a(n-28) +770286*a(n-29) +1084560*a(n-30) -3011274*a(n-31) +9815077*a(n-32) -4481104*a(n-33) -150016*a(n-34) +568897*a(n-35) -223438*a(n-36) +10096*a(n-37) -2408*a(n-38) for n>39

Example

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

Crossrefs

Cf. A299668.

Sequence in context: A281833 A299077 A298997 * A243942 A365055 A196651

Adjacent sequences: A299661 A299662 A299663 * A299665 A299666 A299667

Keyword

nonn

Author

R. H. Hardin, Feb 15 2018

Status

approved