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 1-7 of 7 results.

A201149 Number of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

Original entry on oeis.org

6, 20, 56, 140, 330, 745, 1634, 3504, 7388, 15366, 31612, 64446, 130391, 262113, 523984, 1042433, 2065098, 4075761, 8017395, 15724110, 30756544, 60014931, 116849951, 227054267, 440389499, 852738289, 1648633351, 3182830233
Offset: 1

Views

Author

R. H. Hardin Nov 27 2011

Keywords

Comments

Column 2 of A201155

Examples

			Some solutions for n=10
..0..1....0..0....0..0....0..0....0..0....0..0....0..1....0..1....0..0....0..0
..0..1....0..0....0..0....0..0....0..0....0..2....0..1....0..1....0..0....0..0
..0..2....0..0....1..2....0..2....0..2....0..1....0..1....0..2....0..0....0..0
..1..2....0..2....2..2....0..1....0..2....1..1....0..1....0..2....0..1....0..1
..2..2....0..2....1..2....0..1....1..2....1..2....2..2....1..2....0..1....0..2
..1..2....0..2....2..2....1..1....1..2....1..2....1..2....1..2....0..1....0..2
..1..2....1..1....1..2....1..2....1..2....1..2....2..2....1..2....0..2....0..2
..1..2....1..1....2..2....1..2....1..2....1..2....2..2....2..2....0..1....1..1
..1..2....1..2....2..2....2..2....1..2....1..2....1..2....2..2....1..1....1..1
..2..2....1..2....2..2....1..2....2..2....2..2....1..2....2..2....1..2....2..2
		

Formula

Empirical: a(n) = 7*a(n-1) -16*a(n-2) +4*a(n-3) +39*a(n-4) -56*a(n-5) +2*a(n-6) +59*a(n-7) -49*a(n-8) -5*a(n-9) +29*a(n-10) -14*a(n-11) -2*a(n-12) +4*a(n-13) -a(n-14)

A201150 Number of nX3 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

Original entry on oeis.org

11, 56, 235, 860, 2910, 9287, 28452, 84473, 244933, 697065, 1954865, 5417604, 14870436, 40495840, 109564073, 294830410, 789790546, 2107673769, 5606720691, 14874608710, 39372687032, 104018286133, 274358183769, 722650263970
Offset: 1

Views

Author

R. H. Hardin Nov 27 2011

Keywords

Comments

Column 3 of A201155

Examples

			Some solutions for n=8
..0..1..1....0..0..2....0..0..0....0..0..0....0..0..1....0..0..0....0..0..2
..0..1..1....0..2..2....0..0..1....0..0..0....0..0..1....0..1..2....0..2..2
..0..1..1....1..1..2....0..0..1....0..0..0....0..0..1....1..2..2....0..1..2
..0..1..2....1..1..2....0..0..1....0..0..0....0..0..1....2..2..2....0..1..2
..0..1..2....1..2..2....1..1..2....0..1..1....0..2..1....1..2..2....0..1..2
..0..1..2....2..2..2....1..2..2....0..1..2....1..2..2....1..2..2....0..1..2
..2..2..2....1..2..2....2..2..2....0..2..2....1..1..2....1..2..2....1..1..2
..1..2..2....2..2..2....1..2..2....1..1..2....1..2..2....2..2..2....1..1..2
		

A201151 Number of nX4 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

Original entry on oeis.org

19, 140, 860, 4572, 22183, 100362, 432048, 1791740, 7225068, 28510387, 110629661, 423640742, 1605361751, 6032626211, 22517083366, 83589139136, 308933515758, 1137661210293, 4177146453272, 15300167480847, 55930646132694
Offset: 1

Views

Author

R. H. Hardin Nov 27 2011

Keywords

Comments

Column 4 of A201155

Examples

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

A201152 Number of nX5 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

Original entry on oeis.org

32, 330, 2910, 22183, 153796, 988216, 6002677, 34907951, 196209473, 1073245835, 5743380130, 30190482143, 156366599219, 799859107532, 4048379560069, 20304198548926, 101028745597855, 499209984568710, 2451625415035065
Offset: 1

Views

Author

R. H. Hardin Nov 27 2011

Keywords

Comments

Column 5 of A201155

Examples

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

A201148 Number of n X n 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

Original entry on oeis.org

3, 20, 235, 4572, 153796, 9005581, 938925282, 177169920997, 61277532455559
Offset: 1

Views

Author

R. H. Hardin Nov 27 2011

Keywords

Comments

Diagonal of A201155

Examples

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

A201153 Number of nX6 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

Original entry on oeis.org

53, 745, 9287, 100362, 988216, 9005581, 77316192, 632331257, 4971371594, 37852928161, 280870999959, 2040764929737, 14573664882124, 102583696681074, 713346304542539, 4909295618862765, 33487025412414016, 226676629629048029
Offset: 1

Views

Author

R. H. Hardin Nov 27 2011

Keywords

Comments

Column 6 of A201155

Examples

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

A201154 Number of nX7 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

Original entry on oeis.org

87, 1634, 28452, 432048, 6002677, 77316192, 938925282, 10844322561, 120031503310, 1282802588833, 13328322040209, 135365873507224, 1349536402322995, 13250844417224841
Offset: 1

Views

Author

R. H. Hardin Nov 27 2011

Keywords

Comments

Column 7 of A201155

Examples

			Some solutions for n=3
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..1..1..1..1
..0..1..2..1..1..1..2....0..0..2..1..1..2..2....0..0..0..1..1..1..2
..1..2..2..2..2..2..2....0..0..2..2..1..2..2....0..2..1..1..1..2..2
		
Showing 1-7 of 7 results.