A266067 -id:A266067 - cp's OEIS frontend

A266062 Number of nX2 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

3, 17, 35, 89, 323, 1057, 3027, 9257, 29835, 92561, 288027, 898873, 2818275, 8824849, 27652507, 86466761, 270984643, 849833089, 2661782123, 8337922937, 26141124755, 81934791281, 256731280891, 804699050537, 2522377797859, 7905371708193

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 2 of A266067.

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

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

Cf. A266067.

Empirical: a(n) = a(n-1) +2*a(n-2) +20*a(n-3) +30*a(n-4) -50*a(n-5) -160*a(n-6) -512*a(n-7) -404*a(n-8) +948*a(n-9) +1880*a(n-10) +4248*a(n-11) +1088*a(n-12) -3776*a(n-13) -7488*a(n-14) -5376*a(n-15) +4352*a(n-16) +4608*a(n-17) +8192*a(n-18)

A266063 Number of nX3 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

4, 35, 34, 81, 809, 1750, 5071, 29256, 93170, 300067, 1374813, 4881352, 17156265, 70554601, 260365422, 950843894, 3740973714, 13990748422, 52014399980, 200564580212, 754390821186, 2828195071320, 10800225596334, 40733212835196

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 3 of A266067.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 78

Cf. A266067.

Empirical recurrence of order 78 (see link above)

A266064 Number of nX4 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

5, 89, 81, 525, 8262, 25663, 148323, 1480037, 7361668, 43625889, 337487030, 1992491986, 12259297662, 84919942819, 531642104603, 3345439670726, 22164717425170, 141438239886755, 900411960327132, 5860940525461256

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 4 of A266067.

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

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

Cf. A266067.

A266065 Number of n X 5 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

9, 323, 809, 8262, 154939, 1066148, 11753249, 164649556, 1624261580, 18538981257, 229469667714, 2536359623435, 29278580961556, 347292039035416, 3973004685343895, 46045222804587434, 538477979319956709

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 5 of A266067.

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

R. H. Hardin, Table of n, a(n) for n = 1..65

Cf. A266067.

A266066 Number of nX6 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

16, 1057, 1750, 25663, 1066148, 11211992, 156829155, 3678276863, 55555604963, 924058858458, 17716431261668, 297095816076323

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 6 of A266067.

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

Cf. A266067.

cp's OEIS Frontend

A266062 Number of nX2 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266063 Number of nX3 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266064 Number of nX4 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266065 Number of n X 5 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266066 Number of nX6 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself.

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