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.

A223845 Number of nX3 0..3 arrays with rows and columns unimodal.

Original entry on oeis.org

50, 2500, 64660, 1006318, 10804883, 87613063, 570145144, 3107412546, 14632983606, 60951077586, 228682697934, 784020062496, 2484771896660, 7348846431262, 20442258040721, 53835488429681, 134975315832464
Offset: 1

Views

Author

R. H. Hardin Mar 27 2013

Keywords

Comments

Column 3 of A223850

Examples

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

Links

Formula

Empirical: a(n) = (89/169374965760)*n^18 + (811/30536352000)*n^17 + (2373533/3487131648000)*n^16 + (699851/62270208000)*n^15 + (11519407/87178291200)*n^14 + (51637/44352000)*n^13 + (7243453/912384000)*n^12 + (306562541/7185024000)*n^11 + (148370021/812851200)*n^10 + (33909163/54432000)*n^9 + (455467827113/268240896000)*n^8 + (5892168577/1596672000)*n^7 + (80009607001/12454041600)*n^6 + (31958071429/3592512000)*n^5 + (2175260234977/217945728000)*n^4 + (5539161569/648648000)*n^3 + (6387435643/1029188160)*n^2 + (637969/235620)*n + 1

A223846 Number of nX4 0..3 arrays with rows and columns unimodal.

Original entry on oeis.org

130, 16900, 1006318, 32464394, 664770145, 9625018705, 106061178908, 936977517660, 6894239747078, 43487182160312, 240482752035786, 1186784550921046, 5302212479479600, 21699479504191666, 82147259258535281
Offset: 1

Views

Author

R. H. Hardin Mar 27 2013

Keywords

Comments

Column 4 of A223850

Examples

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

Links

Formula

Empirical: a(n) = (1224989653/34469355651846635520000)*n^24 + (1274345773/470036667979726848000)*n^23 + (47369757551/449600291111043072000)*n^22 + (8079231569/3005349539512320000)*n^21 + (171216531859/3434685188014080000)*n^20 + (13528480451/19081584377856000)*n^19 + (53112671431/6639498657792000)*n^18 + (49232848360313/672249239101440000)*n^17 + (53770073578979/97339256340480000)*n^16 + (16874019797699/4866962817024000)*n^15 + (517532991925673/28407170727936000)*n^14 + (605791149299131/7532204359680000)*n^13 + (1386471943577633089/4639837885562880000)*n^12 + (59161759217914897/63270516621312000)*n^11 + (155971027258109341/63270516621312000)*n^10 + (433061967586889413/79088145776640000)*n^9 + (1968650426732884217/192071211171840000)*n^8 + (51663699265372819/3201186852864000)*n^7 + (9092531376581516951/425757851430912000)*n^6 + (81675296147006711/3478413818880000)*n^5 + (15743753732731141/735818307840000)*n^4 + (225625755353/14865016320)*n^3 + (646759707782897/74209612276800)*n^2 + (8586693697/2677114440)*n + 1

A223847 Number of nX5 0..3 arrays with rows and columns unimodal.

Original entry on oeis.org

296, 87616, 10804883, 664770145, 24291817048, 594861333098, 10609537390768, 146233793223364, 1627190607796056, 15110227641526318, 120160497384066604, 835281313593693456, 5160709016280272028, 28729755606226120468
Offset: 1

Views

Author

R. H. Hardin Mar 27 2013

Keywords

Comments

Column 5 of A223850

Examples

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

Links

Formula

Empirical: a(n) = (12185409283/15043832793341144432640000000)*n^30 + (76296730104643/884176199373970195454361600000)*n^29 + (1070597323435537/228666258458785395376128000000)*n^28 + (15095976776879/89620324694801252352000000)*n^27 + (80978639299446029/18148115750697253601280000000)*n^26 + (17128733527118137/186134520519971831808000000)*n^25 + (1793728053298859387/1172647479275822540390400000)*n^24 + (1261636802562641833/60135768167990899507200000)*n^23 + (5594512626040336997/23174851369087401984000000)*n^22 + (31544771499812381/13376537586774835200000)*n^21 + (47886425657641284787/2427841571999632588800000)*n^20 + (229975881467092172089/1618561047999755059200000)*n^19 + (9082589031754852696739/10260073516345196544000000)*n^18 + (111240879091929267206971/23256166637049112166400000)*n^17 + (46080377535895002055433/2052014703269039308800000)*n^16 + (5972995162066161572851/65143323913302835200000)*n^15 + (2705387734319931209037779/8305773798946111488000000)*n^14 + (21438489128749966497727/21296855894733619200000)*n^13 + (123748166982394715917397/45739838228461977600000)*n^12 + (281638905229159746619297/44567021863629619200000)*n^11 + (1531541445561308485678126639/119495327371856916480000000)*n^10 + (569764139394721423500017/25290016374996172800000)*n^9 + (12437437033053107961181039/363543985390569984000000)*n^8 + (1801415998853685830112073/40393776154507776000000)*n^7 + (909519212873314420568666851/18379168150301038080000000)*n^6 + (1564096450989494220884147/34035496574631552000000)*n^5 + (108960453802905313513657/3063194691716839680000)*n^4 + (2031598190834852737/90040996229184000)*n^3 + (318817655518333/25794785016000)*n^2 + (1721120935577/388181593800)*n + 1

A223848 Number of nX6 0..3 arrays with rows and columns unimodal.

Original entry on oeis.org

610, 372100, 87613063, 9625018705, 594861333098, 23571122875874, 655695544507798, 13664368909406118, 223826020405698042, 2989255089012594574, 33493784878205412870, 322121609577947478872
Offset: 1

Views

Author

R. H. Hardin Mar 27 2013

Keywords

Comments

Column 6 of A223850

Examples

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

Links

A223844 Number of n X n 0..3 arrays with rows and columns unimodal.

Original entry on oeis.org

4, 256, 64660, 32464394, 24291817048, 23571122875874, 27578655986218632, 37359132548315097216
Offset: 1

Views

Author

R. H. Hardin Mar 27 2013

Keywords

Comments

Diagonal of A223850

Examples

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

A223849 Number of nX7 0..3 arrays with rows and columns unimodal.

Original entry on oeis.org

1163, 1352569, 570145144, 106061178908, 10609537390768, 655695544507798, 27578655986218632, 846185728339283486
Offset: 1

Views

Author

R. H. Hardin Mar 27 2013

Keywords

Comments

Column 7 of A223850

Examples

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

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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