A198723 -id:A198723 - cp's OEIS frontend

A198719 Number of nX4 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

5, 499, 232841, 173549032, 141168480719, 116492275674072, 96356630422085931, 79732515488691835557, 65980773070548173552412, 54601426682639992758644080, 45184694908666112938858073903, 37392013011256643009627621268829

Offset: 1

R. H. Hardin Oct 29 2011

nonn

Column 4 of A198723

			Some solutions with all values 0 to 6 for n=5
..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1
..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0
..0..2..0..1....2..1..0..1....2..3..0..1....2..3..0..1....2..3..0..1
..3..4..1..4....1..0..3..4....4..5..6..3....4..5..4..5....1..0..4..2
..5..6..4..0....5..4..0..6....6..0..4..0....0..4..6..1....4..5..3..6

R. H. Hardin, Table of n, a(n) for n = 1..200

Empirical: a(n) = 1081*a(n-1) -231028*a(n-2) +18466747*a(n-3) -729356901*a(n-4) +16017483310*a(n-5) -207602672167*a(n-6) +1633653422655*a(n-7) -7862297151184*a(n-8) +22902587520657*a(n-9) -39383752489643*a(n-10) +38480449661142*a(n-11) -19517387256516*a(n-12) +3939042601848*a(n-13)

A198720 Number of nX5 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

15, 10507, 34003792, 141168480719, 601755060211186, 2572072097029554676, 10996875674843226590993, 47018449018254334323435148, 201033586140960282012089201427, 859545914195473034723104861028749

Offset: 1

R. H. Hardin Oct 29 2011

nonn

Column 5 of A198723

			Some solutions with all values 0 to 6 for n=3
..0..1..2..1..3....0..1..2..3..4....0..1..0..2..3....0..1..2..3..4
..1..0..4..0..5....1..0..1..5..1....1..0..4..5..6....1..0..3..5..3
..0..2..0..6..1....0..6..0..4..0....0..3..0..4..0....0..4..5..6..0

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

A198721 Number of nX6 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

52, 272410, 5315840795, 116492275674072, 2572072097029554676, 56817439251356046537693, 1255145613308486512244031328, 27727293796669883715931085888092, 612520905593913038338760996059873808

Offset: 1

R. H. Hardin Oct 29 2011

nonn

Column 6 of A198723

			Some solutions with all values 0 to 6 for n=3
..0..1..2..3..4..2....0..1..2..1..2..3....0..1..2..3..4..2....0..1..0..2..3..0
..1..0..1..2..3..5....1..0..1..4..3..5....1..0..1..2..1..3....1..0..1..3..4..2
..0..1..0..1..6..0....0..1..0..6..5..4....0..1..0..5..6..4....0..1..3..4..5..6

R. H. Hardin, Table of n, a(n) for n = 1..11

A198722 Number of n X 7 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

203, 7817980, 846047363854, 96356630422085931, 10996875674843226590993, 1255145613308486512244031328, 143258513960209594417739070314380, 16351094722174331189725220168411285754, 1866264648662016827992654208819869556160352

Offset: 1

R. H. Hardin, Oct 29 2011

nonn

			Some solutions with all values 0 to 6 for n=3:
  0 1 0 2 3 4 5     0 1 0 2 1 3 0     0 1 0 2 0 1 3
  1 0 1 0 2 6 4     1 0 1 0 4 0 2     1 0 1 0 4 5 1
  0 1 0 3 6 0 2     0 1 0 3 5 3 6     0 1 0 3 6 1 2

Andrew Howroyd, Table of n, a(n) for n = 1..200

Column 7 of A198723.

Terms a(7) and beyond from Andrew Howroyd, Mar 12 2023

cp's OEIS Frontend

A198719 Number of nX4 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198720 Number of nX5 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198721 Number of nX6 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198722 Number of n X 7 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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