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 1-6 of 6 results.

A224045 Number of nX3 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

50, 984, 9731, 67585, 376734, 1801402, 7655477, 29502561, 104437965, 342818189, 1051490221, 3033475639, 8279003183, 21484969347, 53256520053, 126598758740, 289630093258, 639706047860, 1367894672765, 2838837855851, 5730717831654
Offset: 1

Views

Author

R. H. Hardin Apr 01 2013

Keywords

Comments

Column 3 of A224050

Examples

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

Links

Formula

Empirical: a(n) = (1/3629463552000)*n^18 + (7/403273728000)*n^17 + (667/951035904000)*n^16 + (3253/174356582400)*n^15 + (1895917/5230697472000)*n^14 + (1319281/249080832000)*n^13 + (509321/8211456000)*n^12 + (100859/174182400)*n^11 + (332201027/73156608000)*n^10 + (728354747/24385536000)*n^9 + (143150448337/804722688000)*n^8 + (121759327/136857600)*n^7 + (2559704983/808704000)*n^6 + (221471493559/31135104000)*n^5 + (346834471679/24216192000)*n^4 + (1741800289/181621440)*n^3 + (25437920323/1715313600)*n^2 + (1383692/69615)*n - 32 for n>1

A224046 Number of n X 4 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

130, 4580, 67585, 638996, 4646480, 28403642, 153482649, 753824187, 3415377142, 14392067725, 56709869639, 209870332819, 732443566502, 2420139228330, 7599650363003, 22760832153158, 65233797272228, 179466761579280
Offset: 1

Views

Author

R. H. Hardin, Apr 01 2013

Keywords

Comments

Column 4 of A224050.

Examples

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

Links

Crossrefs

Cf. A224050.

Formula

Empirical: a(n) = (1/2906843957821440000)*n^24 + (1/34605285212160000)*n^23 + (2197/1372406261022720000)*n^22 + (36671/608225502044160000)*n^21 + (345821/198604245565440000)*n^20 + (243821/6097498767360000)*n^19 + (2713831/3556874280960000)*n^18 + (65882659/5335311421440000)*n^17 + (1717274701/10042939146240000)*n^16 + (15328652863/7532204359680000)*n^15 + (310603695671/15064408719360000)*n^14 + (2357040641/12809871360000)*n^13 + (164927026281001/110472330608640000)*n^12 + (9207360567227/836911595520000)*n^11 + (4986853452139/64377815040000)*n^10 + (411697824533651/941525544960000)*n^9 + (65628631692258281/32011868528640000)*n^8 + (272989349985619/42343741440000)*n^7 + (2379724164506688719/152056375511040000)*n^6 + (12014199897579587/351982350720000)*n^5 + (1477480261274551/84475764172800)*n^4 + (999826201817147/5866372512000)*n^3 - (44639957516956097/148419224553600)*n^2 + (38158075159/56360304)*n - 1449 for n>3.

A224047 Number of nX5 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

296, 17723, 376734, 4646480, 41991129, 310514900, 1999959111, 11666303576, 63064614327, 319676018383, 1527645330800, 6898951459856, 29492315195008, 119554362889697, 460533210896643, 1689732709960111, 5919921112242653
Offset: 1

Views

Author

R. H. Hardin Apr 01 2013

Keywords

Comments

Column 5 of A224050

Examples

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

Links

Formula

Empirical polynomial of degree 30 (see link above)

A224048 Number of nX6 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

610, 59792, 1801402, 28403642, 310514900, 2701569493, 20096076442, 133729094355, 821109158656, 4743773544158, 26052580835518, 136551839375912, 683560425650120, 3267176210453459, 14908991892646144, 64985125266087385
Offset: 1

Views

Author

R. H. Hardin Apr 01 2013

Keywords

Comments

Column 6 of A224050

Examples

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

Links

A224044 Number of n X n 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

4, 160, 9731, 638996, 41991129, 2701569493, 169750613182, 10454910167463, 634179969235617, 38050532050437859
Offset: 1

Views

Author

R. H. Hardin Apr 01 2013

Keywords

Comments

Diagonal of A224050

Examples

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

A224049 Number of nX7 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing.

Original entry on oeis.org

1163, 180821, 7655477, 153482649, 1999959111, 20096076442, 169750613182, 1265415997425, 8609328529478, 54810160645347, 332129717908612, 1933871450604161, 10857958349352084, 58782328259016090
Offset: 1

Views

Author

R. H. Hardin Apr 01 2013

Keywords

Comments

Column 7 of A224050

Examples

			Some solutions for n=3
..0..0..0..0..0..2..0....0..0..0..0..0..1..1....0..0..0..0..0..0..0
..0..0..0..2..2..1..0....0..0..0..3..3..3..2....0..0..0..0..0..2..1
..0..0..3..2..2..0..0....0..0..3..3..3..3..3....0..0..2..2..2..2..3
Showing 1-6 of 6 results.

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