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.

A184122 Number of nX2 0..3 arrays with rows and columns in nondecreasing order.

Original entry on oeis.org

10, 86, 561, 2861, 12068, 43947, 142376, 419213, 1139569, 2894178, 6931366, 15770131, 34291532, 71619470, 144269412, 281284873, 532422712, 980922994, 1763049635, 3097467201, 5328692624, 8990408705, 14896447100, 24269860485
Offset: 1

Views

Author

R. H. Hardin Jan 09 2011

Keywords

Comments

Column 2 of A184129

Examples

			Some solutions for 3X2
..0..1....2..2....0..1....0..2....0..1....2..3....0..3....0..2....1..2....1..2
..0..1....2..2....2..0....1..3....3..0....2..3....2..3....1..2....2..0....1..2
..3..3....2..3....2..2....2..2....3..1....3..1....2..3....2..1....2..3....3..0
		

Formula

Empirical: a(n)=16*a(n-1)-120*a(n-2)+560*a(n-3)-1820*a(n-4)+4368*a(n-5)-8008*a(n-6)+11440*a(n-7)-12870*a(n-8)+11440*a(n-9)-8008*a(n-10)+4368*a(n-11)-1820*a(n-12)+560*a(n-13)-120*a(n-14)+16*a(n-15)-a(n-16) (=polynomial of degree 15)

A184123 Number of n X 3 0..3 arrays with rows and columns in nondecreasing order.

Original entry on oeis.org

20, 561, 14178, 276427, 4249486, 53817407, 581588614, 5503143135, 46473256070, 355407459056, 2489794107266, 16126296889260, 97309331427298, 550557601317077, 2936599872342895, 14836021866212493, 71284139688101545
Offset: 1

Views

Author

R. H. Hardin, Jan 09 2011

Keywords

Comments

Column 3 of A184129.

Examples

			Some solutions for 5 X 3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..0..2....0..1..2....0..1..2....0..0..1....0..1..2....0..1..2
..0..1..2....1..1..3....1..1..1....0..2..0....0..1..2....0..1..2....1..1..0
..2..2..3....1..3..0....3..1..2....1..0..1....2..0..0....1..2..1....1..3..1
..3..2..1....2..0..2....3..2..3....1..1..0....2..1..3....3..0..0....2..3..3
		

Crossrefs

Cf. A184129.

Formula

Empirical: a(n)=64*a(n-1)-2016*a(n-2)+41664*a(n-3)-635376*a(n-4)+7624512*a(n-5)-74974368*a(n-6)+621216192*a(n-7)-4426165368*a(n-8)+27540584512*a(n-9)-151473214816*a(n-10)+743595781824*a(n-11)-3284214703056*a(n-12)+13136858812224*a(n-13)-47855699958816*a(n-14)+159518999862720*a(n-15)-488526937079580*a(n-16)+1379370175283520*a(n-17)-3601688791018080*a(n-18)+8719878125622720*a(n-19)-19619725782651120*a(n-20)+41107996877935680*a(n-21)-80347448443237920*a(n-22)+146721427591999680*a(n-23)-250649105469666120*a(n-24)+401038568751465792*a(n-25)-601557853127198688*a(n-26)+846636978475316672*a(n-27)-1118770292985239888*a(n-28)+1388818294740297792*a(n-29)-1620288010530347424*a(n-30)+1777090076065542336*a(n-31)-1832624140942590534*a(n-32)+1777090076065542336*a(n-33)-1620288010530347424*a(n-34)+1388818294740297792*a(n-35)-1118770292985239888*a(n-36)+846636978475316672*a(n-37)-601557853127198688*a(n-38)+401038568751465792*a(n-39)-250649105469666120*a(n-40)+146721427591999680*a(n-41)-80347448443237920*a(n-42)+41107996877935680*a(n-43)-19619725782651120*a(n-44)+8719878125622720*a(n-45)-3601688791018080*a(n-46)+1379370175283520*a(n-47)-488526937079580*a(n-48)+159518999862720*a(n-49)-47855699958816*a(n-50)+13136858812224*a(n-51)-3284214703056*a(n-52)+743595781824*a(n-53)-151473214816*a(n-54)+27540584512*a(n-55)-4426165368*a(n-56)+621216192*a(n-57)-74974368*a(n-58)+7624512*a(n-59)-635376*a(n-60)+41664*a(n-61)-2016*a(n-62)+64*a(n-63)-a(n-64) (=polynomial of degree 63).

A184124 Number of nX4 0..3 arrays with rows and columns in nondecreasing order.

Original entry on oeis.org

35, 2861, 276427, 21907055, 1361812470, 68564445616, 2895890669208, 105444472863183, 3378291908588468, 96731087997530019, 2505731171609500353, 59302593647075171521, 1292712426187108744457, 26131939998738083235224
Offset: 1

Views

Author

R. H. Hardin Jan 09 2011

Keywords

Comments

Column 4 of A184129

Examples

			Some solutions for 3X4
..0..0..2..3....0..0..0..2....0..0..1..1....0..0..1..1....0..0..3..3
..0..2..1..2....0..1..1..3....0..3..3..3....0..1..3..3....0..2..1..1
..3..1..0..0....2..1..2..1....2..0..2..2....1..0..0..3....1..0..0..3
		

A184125 Number of nX5 0..3 arrays with rows and columns in nondecreasing order.

Original entry on oeis.org

56, 12068, 4249486, 1361812470, 348053502590, 71759424776253, 12323643023399737, 1812407940171867666, 233154749874813919293, 26665385106037737856103, 2745847883076898964068450
Offset: 1

Views

Author

R. H. Hardin Jan 09 2011

Keywords

Comments

Column 5 of A184129

Examples

			Some solutions for 3X5
..0..0..0..0..1....0..0..0..2..3....0..0..0..3..3....0..0..0..1..3
..0..1..2..2..3....0..0..3..2..3....0..1..1..0..3....0..0..0..2..1
..0..3..0..3..1....0..3..1..2..0....0..1..3..1..2....0..2..2..1..1
		

A184126 Number of nX6 0..3 arrays with rows and columns in nondecreasing order.

Original entry on oeis.org

84, 43947, 53817407, 68564445616, 71759424776253, 60704077222861152, 42630936592613426327, 25543138074385245659345, 13344262317615708218916589, 6180837269782270549411789459, 2571641374571848612017288269301
Offset: 1

Views

Author

R. H. Hardin Jan 09 2011

Keywords

Comments

Column 6 of A184129

Examples

			Some solutions for 3X6
..0..0..0..0..1..1....0..0..0..0..2..2....0..0..0..0..3..3....0..0..0..0..1..3
..0..0..0..1..0..0....0..0..0..1..0..2....0..0..0..2..0..0....0..0..0..2..0..1
..0..0..2..3..0..2....0..0..1..1..0..3....0..0..2..3..0..1....0..0..2..3..0..1
		

A184127 Number of n X 7 0..3 arrays with rows and columns in nondecreasing order.

Original entry on oeis.org

120, 142376, 581588614, 2895890669208, 12323643023399737, 42630936592613426327, 122233352821430587249163, 298254428253388683225868035, 633084498761485396427699934865
Offset: 1

Views

Author

R. H. Hardin, Jan 09 2011

Keywords

Comments

Column 7 of A184129.

Examples

			Some solutions for 3 X 7
..0..0..0..0..0..0..0....0..0..0..0..0..0..1....0..0..0..0..2..2..2
..0..0..0..0..1..2..3....0..0..0..1..2..3..3....0..0..0..2..0..1..3
..0..0..0..0..3..2..3....0..0..2..0..2..2..3....0..0..2..0..1..3..2
		

Crossrefs

Cf. A184129.

A184128 Number of nX8 0..3 arrays with rows and columns in nondecreasing order.

Original entry on oeis.org

165, 419213, 5503143135, 105444472863183, 1812407940171867666, 25543138074385245659345, 298254428253388683225868035, 2957950981271006387648141644093
Offset: 1

Views

Author

R. H. Hardin Jan 09 2011

Keywords

Comments

Column 8 of A184129

Examples

			Some solutions for 3X8
..0..0..0..0..0..0..1..1....0..0..0..0..0..0..3..3....0..0..0..0..0..0..0..2
..0..0..0..0..0..2..1..3....0..0..0..0..0..2..0..3....0..0..0..0..0..1..3..1
..0..0..0..0..2..2..0..1....0..0..0..0..0..2..3..1....0..0..0..0..3..1..2..1
		
Showing 1-7 of 7 results.