A217645 -id:A217645 - cp's OEIS frontend

A217639 Number of nX2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX2 array.

3, 9, 27, 91, 293, 959, 3121, 10171, 33141, 107985, 351855, 1146471, 3735623, 12172023, 39660897, 129229689, 421077529, 1372024391, 4470556607, 14566706329, 47463649813, 154653907527, 503918919165, 1641951898617, 5350079020329

Offset: 1

R. H. Hardin Oct 09 2012

nonn

Column 2 of A217645

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

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

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +3*a(n-3) +2*a(n-4) -a(n-6).

Empirical: G.f.: x*(3+3*x+x^3-3*x^4+x^5) / ( 1-2*x-3*x^2-3*x^3-2*x^4+x^6 ). - R. J. Mathar, Jul 10 2015

A217640 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX3 array.

Original entry on oeis.org

9, 27, 163, 877, 5119, 29101, 166193, 949883, 5424617, 30992313, 177045523, 1011403721, 5777856321, 33007064639, 188559321601, 1077181452713, 6153607089559, 35153670287907, 200822133317793, 1147235248764407

Offset: 1

R. H. Hardin Oct 09 2012

nonn

Column 3 of A217645

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

R. H. Hardin, Table of n, a(n) for n = 1..71

Empirical: a(n) = 5*a(n-1) +3*a(n-2) +9*a(n-3) -10*a(n-4) -7*a(n-5) -166*a(n-6) -3*a(n-7) -122*a(n-8) -71*a(n-9) +165*a(n-10) +43*a(n-11) -43*a(n-12) -7*a(n-13) +3*a(n-14) for n>15

A217641 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX4 array.

Original entry on oeis.org

17, 91, 877, 8363, 80653, 779051, 7531727, 72877045, 704989101, 6820892171, 65993636901, 638497154509, 6177606843163, 59769632055785, 578284005053917, 5595022879846267, 54133051863934891, 523748973561990577

Offset: 1

R. H. Hardin Oct 09 2012

nonn

Column 4 of A217645

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

R. H. Hardin, Table of n, a(n) for n = 1..24

A217642 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX5 array.

Original entry on oeis.org

37, 293, 5119, 80653, 1348399, 22516459, 374406369, 6249355897, 104219396757, 1738366122579, 28998563675605, 483717812615381, 8068980243223419, 134599543257146021, 2245271881774026885, 37453685830252207957

Offset: 1

R. H. Hardin Oct 09 2012

nonn

Column 5 of A217645

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

R. H. Hardin, Table of n, a(n) for n = 1..21

A217643 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX6 array.

Original entry on oeis.org

77, 959, 29101, 779051, 22516459, 644993621, 18482872753, 531602056509, 15267905480487, 438705879899041, 12606649476815151, 362239882955092205, 10409031887717391513, 299103662135939293765, 8594751629843753626189

Offset: 1

R. H. Hardin Oct 09 2012

nonn

Column 6 of A217645

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

R. H. Hardin, Table of n, a(n) for n = 1..18

A217644 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX7 array.

Original entry on oeis.org

163, 3121, 166193, 7531727, 374406369, 18482872753, 912173011699, 45172801496675, 2234877786749541, 110611616704879795, 5474859780340931141, 270972286809199358975, 13411953206311122874641, 663829781516203470875045

Offset: 1

R. H. Hardin Oct 09 2012

nonn

Column 7 of A217645

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

R. H. Hardin, Table of n, a(n) for n = 1..19

A217638 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 n X n array.

Original entry on oeis.org

3, 9, 163, 8363, 1348399, 644993621, 912173011699, 3856478543303029, 48316904515484808101, 1799376234322670301407483

Offset: 1

R. H. Hardin Oct 09 2012

nonn

Diagonal of A217645

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

cp's OEIS Frontend

A217639 Number of nX2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX2 array.

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A217640 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX3 array.

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A217641 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX4 array.

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A217642 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX5 array.

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A217643 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX6 array.

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A217644 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 nX7 array.

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A217638 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..2 n X n array.

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