A221780 -id:A221780 - cp's OEIS frontend

A221777 Number of n X 2 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

3, 25, 184, 1367, 10179, 75782, 564169, 4200043, 31267890, 232778781, 1732958641, 12901286112, 96045675555, 715027301353, 5323134422488, 39628920498935, 295023799000179, 2196351575583206, 16351088488165993, 121728277803994939

Offset: 1

R. H. Hardin, Jan 25 2013

nonn

Column 2 of A221780.

			Some solutions for n=3:
..0..2....0..1....1..2....0..0....0..2....1..1....2..0....2..0....1..1....0..1
..1..3....1..2....1..2....2..1....2..2....2..2....1..2....1..2....0..0....0..3
..0..0....0..2....0..0....3..0....0..0....0..0....0..1....1..0....2..2....2..0

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

Cf. A221780.

Empirical: a(n) = 8*a(n-1) - 5*a(n-2) + 7*a(n-3) - 4*a(n-4) - a(n-5).

Empirical g.f.: x*(3 + x - x^2 - x^3) / ((1 + x^2)*(1 - 8*x + 4*x^2 + x^3)). - Colin Barker, Mar 14 2018

A221778 Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

Original entry on oeis.org

8, 258, 7676, 230621, 6911480, 207263892, 6215606652, 186396173357, 5589718833790, 167626605489419, 5026850431347057, 150747105072411113, 4520661588144287366, 135567321024902298286, 4065444442439149946284

Offset: 1

R. H. Hardin Jan 25 2013

nonn

Column 3 of A221780

			Some solutions for n=3
..0..1..1....2..4..0....1..3..0....2..0..1....1..1..1....0..3..0....0..2..2
..2..0..1....0..0..0....0..0..2....0..2..0....1..1..0....1..2..1....1..0..0
..3..0..1....0..1..2....1..1..1....2..1..1....2..0..2....1..0..1....1..0..3

R. H. Hardin, Table of n, a(n) for n = 1..52

A221779 Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

Original entry on oeis.org

21, 2631, 311500, 36959565, 4383899151, 519828193272, 61646570104772, 7310747898489930, 866987511530643810, 102816641533831938240, 12193094561710087236373, 1445987266172531006933514

Offset: 1

R. H. Hardin Jan 25 2013

nonn

Column 4 of A221780

			Some solutions for n=3
..0..2..1..0....0..2..1..2....0..1..3..2....0..1..0..2....0..3..0..1
..1..2..0..0....0..1..0..2....1..0..0..1....0..1..2..0....1..0..0..3
..0..2..3..1....3..0..0..1....1..0..3..0....2..2..0..2....0..1..2..1

R. H. Hardin, Table of n, a(n) for n = 1..54

A221781 Number of 2Xn arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

Original entry on oeis.org

1, 25, 258, 2631, 26861, 273816, 2792384, 28476902, 290412831, 2961693438, 30204010646, 308027296692, 3141331776218, 32036009453063, 326710444860258, 3331866751461036, 33979128068695941, 346526806242931531

Offset: 1

R. H. Hardin Jan 25 2013

nonn

Row 2 of A221780

			Some solutions for n=3
..1..1..1....2..0..1....1..1..2....0..3..0....0..2..0....1..1..0....2..2..0
..0..3..0....1..1..1....0..1..1....1..1..1....2..2..0....1..3..0....0..1..1

R. H. Hardin, Table of n, a(n) for n = 1..34

Empirical: a(n) = 19*a(n-1) -119*a(n-2) +340*a(n-3) -447*a(n-4) +231*a(n-5) -367*a(n-6) +1636*a(n-7) -2994*a(n-8) +3520*a(n-9) -4119*a(n-10) +2955*a(n-11) +294*a(n-12) -1044*a(n-13) +55*a(n-14) +59*a(n-15) +2*a(n-16)

A221782 Number of 3Xn arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

Original entry on oeis.org

1, 184, 7676, 311500, 12449782, 496125037, 19763197787, 787085360643, 31344203790093, 1248188259617209, 49704848595150246, 1979319928404980888, 78819337675566218873, 3138697184284703490208, 124987334716559797042649

Offset: 1

R. H. Hardin Jan 25 2013

nonn

Row 3 of A221780

			Some solutions for n=3
..0..3..1....1..1..1....1..2..2....2..0..0....0..0..0....0..3..2....2..0..0
..1..1..2....0..1..0....0..0..0....0..4..0....1..2..1....0..3..0....2..3..0
..1..0..0....1..4..0....0..3..1....1..2..0....3..2..0....1..0..0....2..0..0

R. H. Hardin, Table of n, a(n) for n = 1..46

cp's OEIS Frontend

A221777 Number of n X 2 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

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A221778 Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

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A221779 Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

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A221781 Number of 2Xn arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

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A221782 Number of 3Xn arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.

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