A266025 -id:A266025 - cp's OEIS frontend

A266019 Number of nX2 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

3, 7, 14, 42, 99, 259, 719, 1784, 4792, 12479, 32263, 86025, 222663, 585072, 1535472, 4002444, 10527738, 27516774, 72060109, 188952481, 494214824, 1295507675, 3392305134, 8882420053, 23272852966, 60933892273, 159611564865, 418043981246

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 2 of A266025.

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

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

Cf. A266025.

Empirical: a(n) = a(n-1) +2*a(n-2) +6*a(n-3) -a(n-4) +20*a(n-5) -25*a(n-6) -37*a(n-7) -53*a(n-8) -52*a(n-9) +47*a(n-10) +74*a(n-11) +77*a(n-12) +30*a(n-13) -29*a(n-14) -34*a(n-15) -34*a(n-16) -a(n-17) -6*a(n-18) +11*a(n-19) +a(n-20) +a(n-21)

A266020 Number of nX3 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

4, 14, 33, 91, 316, 1045, 3394, 11102, 36842, 122052, 402200, 1324463, 4373322, 14443892, 47671729, 157325046, 519327402, 1714258173, 5658200079, 18676187387, 61646837018, 203484164638, 671655360694, 2216987948652, 7317807541625

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 3 of A266025.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 94

Cf. A266025.

Empirical recurrence of order 94 (see link above)

A266021 Number of nX4 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

5, 42, 91, 577, 3796, 19688, 110924, 656555, 3732300, 21344656, 123330565, 708246405, 4066193034, 23408646708, 134627655119, 773992993358, 4452175085918, 25607065587568, 147270467464058, 847048745101385

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 4 of A266025.

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

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

Cf. A266025.

A266022 Number of nX5 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

9, 99, 316, 3796, 39064, 336357, 3254726, 31035211, 292685424, 2799525337, 26595754073, 253049304865, 2411701918670, 22950798550179, 218539972439888, 2081095747834009, 19814659576096763, 188682858931600792

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 5 of A266025.

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

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

Cf. A266025.

A266023 Number of nX6 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

16, 259, 1045, 19688, 336357, 4285397, 63460724, 950319651, 13831198142, 203362718849, 2996519345158, 44069974577249, 648396325752902, 9541613955300209, 140380983573276762, 2065580574184245251

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 6 of A266025.

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

R. H. Hardin, Table of n, a(n) for n = 1..122

Cf. A266025.

A266018 Number of n X n integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

1, 7, 33, 577, 39064, 4285397, 1577145547, 1561479265416

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Diagonal of A266025.

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

Cf. A266025.

A266024 Number of nX7 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

25, 719, 3394, 110924, 3254726, 63460724, 1577145547, 38948760562, 916245375526, 22100022039548, 535029907435345, 12865137927698631

Offset: 1

R. H. Hardin, Dec 20 2015

nonn

Column 7 of A266025.

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

Cf. A266025.

cp's OEIS Frontend

A266019 Number of nX2 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

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A266020 Number of nX3 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

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A266021 Number of nX4 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

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A266022 Number of nX5 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

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A266023 Number of nX6 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

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A266018 Number of n X n integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

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A266024 Number of nX7 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.

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