A068747 -id:A068747 - cp's OEIS frontend

A068754 Number of potential flows in n X n array with integer velocities in -7..7, i.e., number of n X n arrays with adjacent elements differing by no more than 7, counting arrays differing by a constant only once.

Original entry on oeis.org

1, 2255, 542131425, 14285299502131463

Offset: 1

R. H. Hardin, Feb 27 2002

nonn

By size 3 X 3, ..., 6 X 6 A068744-A068747, by velocity limit 1..14 A068248-A068761, solenoidal flows A068722-A068738.

A068755 Number of potential flows in n X n array with integer velocities in -8..8, i.e., number of n X n arrays with adjacent elements differing by no more than 8, counting arrays differing by a constant only once.

Original entry on oeis.org

1, 3281, 1473095713, 93044501704039945

Offset: 1

R. H. Hardin, Feb 27 2002

nonn

By size 3 X 3, ..., 6 X 6 A068744-A068747, by velocity limit 1..14 A068248-A068761, solenoidal flows A068722-A068738.

A068756 Number of potential flows in n X n array with integer velocities in -9..9, i.e., number of n X n arrays with adjacent elements differing by no more than 9, counting arrays differing by a constant only once.

Original entry on oeis.org

1, 4579, 3582226465, 492225938556374973

Offset: 1

R. H. Hardin, Feb 27 2002

nonn

By size 3 X 3, ..., 6 X 6 A068744-A068747, by velocity limit 1..14 A068248-A068761, solenoidal flows A068722-A068738.

A068757 Number of potential flows in n X n array with integer velocities in -10..10, i.e., number of n X n arrays with adjacent elements differing by no more than 10, counting arrays differing by a constant only once.

Original entry on oeis.org

1, 6181, 7970825457, 2204710243834695807

Offset: 1

R. H. Hardin, Feb 27 2002

nonn

By size 3 X 3, ..., 6 X 6 A068744-A068747, by velocity limit 1..14 A068248-A068761, solenoidal flows A068722-A068738.

A068758 Number of potential flows in n X n array with integer velocities in -11..11, i.e., number of n X n arrays with adjacent elements differing by no more than 11, counting arrays differing by a constant only once.

Original entry on oeis.org

1, 8119, 16492629297, 8617480381892283531

Offset: 1

R. H. Hardin, Feb 27 2002

nonn

By size 3 X 3, ..., 6 X 6 A068744-A068747, by velocity limit 1..14 A068248-A068761, solenoidal flows A068722-A068738.

A068759 Number of potential flows in n X n array with integer velocities in -12..12, i.e., number of n X n arrays with adjacent elements differing by no more than 12, counting arrays differing by a constant only once.

Original entry on oeis.org

1, 10425, 32119620625, 30067792536888711885

Offset: 1

R. H. Hardin, Feb 27 2002

nonn

By size 3 X 3, ..., 6 X 6 A068744-A068747, by velocity limit 1..14 A068248-A068761, solenoidal flows A068722-A068738.

A068760 Number of potential flows in n X n array with integer velocities in -13..13, i.e., number of n X n arrays with adjacent elements differing by no more than 13, counting arrays differing by a constant only once.

Original entry on oeis.org

1, 13131, 59427841617, 95300503181597170089

Offset: 1

R. H. Hardin, Feb 27 2002

nonn

By size 3 X 3, ..., 6 X 6 A068744-A068747, by velocity limit 1..14 A068248-A068761, solenoidal flows A068722-A068738.

A125530 Number of n X n arrays with entries in 1..3 in which adjacent entries differ by 1 or less (adjacent means in x or y directions).

Original entry on oeis.org

1, 3, 35, 2021, 536453, 661407975, 3780952160847, 100240477650720585, 12324646884990466825513, 7027467861520236770627093435, 18582989792598188051914777397933755

Offset: 0

R. H. Hardin, Dec 31 2006

nonn

[Empirical] a(base+1,n,diff)=a(base,n,diff)+F(n,diff) for base>=2.diff.(n-1) and F(n,diff)= (n=2, A063496(diff+1)) (n=3, A068744(diff+1)) (n=4, A068745(diff+1)) (n=5, A068746(diff+1)) (n=6, A068747(diff+1))

A125531 Number of n X n arrays with entries in 1..4 in which adjacent entries differ by 1 or less (adjacent means in x or y directions).

Original entry on oeis.org

1, 4, 54, 3682, 1209830, 1909172038, 14441437270426, 523308354987531254, 90815542491916256949262, 75466682574077698691682950866, 300268405527350796472180876929042538

Offset: 0

R. H. Hardin, Dec 31 2006

nonn

[Empirical] a(base+1,n,diff)=a(base,n,diff)+F(n,diff) for base>=2.diff.(n-1) and F(n,diff)= (n=2, A063496(diff+1)) (n=3, A068744(diff+1)) (n=4, A068745(diff+1)) (n=5, A068746(diff+1)) (n=6, A068747(diff+1))

A125532 Number of n X n arrays with entries in 1..4 in which adjacent entries differ by 2 or less (adjacent means in x or y directions).

Original entry on oeis.org

1, 4, 162, 75398, 386994338, 22039625597766, 13914188992963436802, 97391265572623379728784646, 7557580190940015054807296049439074, 6502004785230840000033839573162175747164038

Offset: 0

R. H. Hardin, Dec 31 2006

nonn

[Empirical] a(base+1,n,diff)=a(base,n,diff)+F(n,diff) for base>=2.diff.(n-1) and F(n,diff)= (n=2, A063496(diff+1)) (n=3, A068744(diff+1)) (n=4, A068745(diff+1)) (n=5, A068746(diff+1)) (n=6, A068747(diff+1))

cp's OEIS Frontend

A068754 Number of potential flows in n X n array with integer velocities in -7..7, i.e., number of n X n arrays with adjacent elements differing by no more than 7, counting arrays differing by a constant only once.

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A068755 Number of potential flows in n X n array with integer velocities in -8..8, i.e., number of n X n arrays with adjacent elements differing by no more than 8, counting arrays differing by a constant only once.

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Crossrefs

A068756 Number of potential flows in n X n array with integer velocities in -9..9, i.e., number of n X n arrays with adjacent elements differing by no more than 9, counting arrays differing by a constant only once.

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Author

Keywords

Crossrefs

A068757 Number of potential flows in n X n array with integer velocities in -10..10, i.e., number of n X n arrays with adjacent elements differing by no more than 10, counting arrays differing by a constant only once.

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Author

Keywords

Crossrefs

A068758 Number of potential flows in n X n array with integer velocities in -11..11, i.e., number of n X n arrays with adjacent elements differing by no more than 11, counting arrays differing by a constant only once.

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Author

Keywords

Crossrefs

A068759 Number of potential flows in n X n array with integer velocities in -12..12, i.e., number of n X n arrays with adjacent elements differing by no more than 12, counting arrays differing by a constant only once.

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Author

Keywords

Crossrefs

A068760 Number of potential flows in n X n array with integer velocities in -13..13, i.e., number of n X n arrays with adjacent elements differing by no more than 13, counting arrays differing by a constant only once.

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Author

Keywords

Crossrefs

A125530 Number of n X n arrays with entries in 1..3 in which adjacent entries differ by 1 or less (adjacent means in x or y directions).

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Comments

A125531 Number of n X n arrays with entries in 1..4 in which adjacent entries differ by 1 or less (adjacent means in x or y directions).

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Author

Keywords

Comments

A125532 Number of n X n arrays with entries in 1..4 in which adjacent entries differ by 2 or less (adjacent means in x or y directions).

Views

Author

Keywords

Comments