cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-9 of 9 results.

A214012 Number of 3X3 nonnegative integer matrices with row and column i=1..3 having sum <= i*n.

Original entry on oeis.org

271, 7722, 85639, 564041, 2663506, 9976732, 31499434, 87205393, 217519577, 498458246, 1064675833, 2143185161, 4101100212, 7511389208, 13241320196, 22569031649, 37334466803, 60131772546, 94551181659, 145479371081
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Row 3 of A214011

Examples

			Some solutions for n=3
..0..0..1....0..0..2....3..0..0....0..0..3....0..0..3....0..0..0....2..0..0
..2..0..0....2..1..0....0..6..0....1..2..0....1..0..0....0..0..0....0..1..0
..0..6..0....0..0..5....0..0..9....2..1..0....0..3..4....0..4..0....1..2..0

Links

Formula

Empirical: a(n) = (n+3) *(n+2) *(n+1) *(3493*n^6 +23853*n^5 +62185*n^4 +81783*n^3 +58531*n^2 +22470*n +3780)/22680;

A214013 Number of 4X4 nonnegative integer matrices with row and column i=1..4 having sum <= i*n.

Original entry on oeis.org

24950, 9318805, 641631566, 17609835599, 269462676001, 2747459653062, 20767436139206, 124705556762920, 623826151413581, 2689745345189961, 10252109460663720, 35217218076189536, 110684300106966444
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Row 4 of A214011

Examples

			Some solutions for n=3
..0..0..0..0....0..0..0..2....0..0..3..0....1..2..0..0....0..0..0..0
..0..6..0..0....0..1..2..3....0..4..0..0....0..0..4..0....0..0..0..0
..0..0..3..0....0..1..6..0....0..0..6..0....0..0..0..0....0..2..2..4
..2..0..6..3....0..0..0..0....0..1..0..9....0..3..0..0....0..4..3..0

Links

A214014 Number of 5X5 nonnegative integer matrices with row and column i=1..5 having sum <= i*n.

Original entry on oeis.org

9800058, 98721672541, 69768979161580, 11798463876314995, 807203255071567008, 29476753771054668510
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Row 5 of A214011

Examples

			Some solutions for n=3
..0..0..0..0..0....0..1..0..0..0....0..0..0..0..0....1..0..0..0..0
..2..1..0..0..0....0..0..3..0..1....0..2..2..0..0....0..0..3..0..0
..0..0..0..2..0....0..1..0..4..4....0..0..4..1..4....0..6..0..0..0
..0..0..9..1..0....0..0..0..0..0....0..0..1.10..0....0..0..0..5..2
..0..0..0..0..5....0..0..0..5..1....0..0..0..0..0....0..0..0..4.10

A214005 Number of n X n nonnegative integer matrices with row and column i=1..n having sum <= i.

Original entry on oeis.org

2, 12, 271, 24950, 9800058, 16942485560, 131898088386405, 4704783844260626244
Offset: 1

Views

Author

R. H. Hardin, Jun 30 2012

Keywords

Comments

Column 1 of A214011.

Examples

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

Crossrefs

Cf. A214011.

A214006 Number of n X n nonnegative integer matrices with row and column i=1..n having sum <= i*2.

Original entry on oeis.org

3, 54, 7722, 9318805, 98721672541, 9463992096711104, 8396505064286814402888
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Column 2 of A214011

Examples

			Some solutions for n=3
..0..2..0....0..0..0....2..0..0....2..0..0....0..0..0....0..0..0....0..0..1
..0..0..0....0..0..4....0..1..0....0..0..2....0..1..0....0..4..0....0..0..3
..0..0..5....0..1..0....0..0..0....0..1..2....0..2..0....1..0..1....0..3..0

A214007 Number of n X n nonnegative integer matrices with row and column i=1..n having sum <= i*3.

Original entry on oeis.org

4, 160, 85639, 641631566, 69768979161580, 113333423255541329550
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Column 3 of A214011

Examples

			Some solutions for n=3
..0..0..0....0..0..0....2..0..0....0..0..1....0..0..0....1..0..0....3..0..0
..3..0..0....0..2..0....0..1..0....0..0..1....0..2..0....0..0..4....0..0..1
..0..4..0....0..0..3....1..2..0....0..6..0....3..0..1....0..6..0....0..1..7

A214008 Number of n X n nonnegative integer matrices with row and column i=1..n having sum <= i*4.

Original entry on oeis.org

5, 375, 564041, 17609835599, 11798463876314995
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Column 4 of A214011

Examples

			Some solutions for n=3
..2..2..0....0..0..0....0..0..0....0..0..3....3..0..1....0..0..0....2..0..0
..0..6..2....0..2..0....4..1..0....0..0..4....0..5..0....0..8..0....0..4..3
..0..0..7....0..2..9....0..0..4....0..0..5....0..2..0....0..0..2....0..2..6

A214009 Number of n X n nonnegative integer matrices with row and column i=1..n having sum <= i*5.

Original entry on oeis.org

6, 756, 2663506, 269462676001, 807203255071567008
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Column 5 of A214011

Examples

			Some solutions for n=3
..2..0..0....1..0..0....0..0..5....0..0..0....0..0..0....4..0..0....0..0..3
..0..9..1....0..8..0....0..0..0....0..1..9....0..4..0....0..0..8....0..0..0
..0..0..9....0..1..1....0..4..9....1..7..2....0..6..0....0..1..1....0..6..4

A214010 Number of n X n nonnegative integer matrices with row and column i=1..n having sum <= i*6.

Original entry on oeis.org

7, 1372, 9976732, 2747459653062, 29476753771054668510
Offset: 1

Views

Author

R. H. Hardin Jun 30 2012

Keywords

Comments

Column 6 of A214011

Examples

			Some solutions for n=3
..0..4..0....0..3..0....0..0..0....0..3..0....0..1..0....0..1..4....3..0..0
..0..0..0....3..3..0....2..3..4....0..0..7....2..0..0....6..0..0....0..9..0
..4..0..0....0..5..4....0..1..0....0..0.10....0..1..1....0..5..5....0..0..5
Showing 1-9 of 9 results.

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