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.

A229405 Number of n X n 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

Original entry on oeis.org

4, 163, 53538, 142475606, 3113479414050, 555943964324988272, 812793729526357032659346, 9723835061406716550009482645332, 952115739439339063251356375563511227580
Offset: 1

Views

Author

R. H. Hardin Sep 22 2013

Keywords

Comments

Diagonal of A229412

Examples

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

A229406 Number of n X 2 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

Original entry on oeis.org

15, 163, 1756, 18712, 199595, 2127718, 22684613, 241841143, 2578301479, 27487534672, 293047669224, 3124213038091, 33307577031714, 355095715688893, 3785714221110283, 40359912854042611, 430281439964832908
Offset: 1

Views

Author

R. H. Hardin, Sep 22 2013

Keywords

Examples

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

Crossrefs

Column 2 of A229412.

Formula

Empirical: a(n) = 10*a(n-1) + 13*a(n-2) - 67*a(n-3) + 38*a(n-4) - 2*a(n-5).
Empirical g.f.: x*(15 + 13*x - 69*x^2 + 38*x^3 - 2*x^4) / (1 - 10*x - 13*x^2 + 67*x^3 - 38*x^4 + 2*x^5). - Colin Barker, Sep 15 2018

A229407 Number of nX3 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

Original entry on oeis.org

57, 1756, 53538, 1629298, 49788258, 1519840402, 46408035676, 1416912709750, 43262165219520, 1320895600914374, 40330198228444030, 1231378827675817778, 37596999339380782420, 1147927946466853457658, 35049037211821475282406
Offset: 1

Views

Author

R. H. Hardin Sep 22 2013

Keywords

Comments

Column 3 of A229412

Examples

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

Formula

Empirical: a(n) = 18*a(n-1) +376*a(n-2) +224*a(n-3) -1664*a(n-4) +36983*a(n-5) -181958*a(n-6) +100599*a(n-7) +484260*a(n-8) -503501*a(n-9) -354823*a(n-10) +399643*a(n-11) +243696*a(n-12) +20412*a(n-13)

A229408 Number of nX4 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

Original entry on oeis.org

216, 18712, 1629298, 142475606, 12462062342, 1088122273732, 95053083585891, 8301763765531574, 725093556456021346, 63329941366726648700, 5531290909649734783556, 483106534141329972723097
Offset: 1

Views

Author

R. H. Hardin Sep 22 2013

Keywords

Comments

Column 4 of A229412

Examples

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

Formula

Empirical: a(n) = 75*a(n-1) +2015*a(n-2) -73205*a(n-3) -896610*a(n-4) +10470535*a(n-5) +157792703*a(n-6) +1077763146*a(n-7) -48083577042*a(n-8) +139036742866*a(n-9) +2329836068759*a(n-10) -12239602373109*a(n-11) -18093515207980*a(n-12) +25956958296476*a(n-13) +788113375763838*a(n-14) +4262697509579799*a(n-15) -32295546573782881*a(n-16) +5417264413820169*a(n-17) -222062164960051970*a(n-18) +2056761311429590249*a(n-19) +284299724552912084*a(n-20) -5503490927997508789*a(n-21) -37413268328101141846*a(n-22) -35941801725298585560*a(n-23) +347787642606086419936*a(n-24) +169870607382944004955*a(n-25) -846141604860515816370*a(n-26) -211772881175844251108*a(n-27) +647850647823873544356*a(n-28) -8127264578877075089*a(n-29) +9475013725414750069*a(n-30) +261644621740873034478*a(n-31) -320746521148777807135*a(n-32) -7078655626835329740*a(n-33) +72309509961021458842*a(n-34) -13313178706506520382*a(n-35) -88592046886273993*a(n-36) -273529821870610322*a(n-37) +31392037171652720*a(n-38) +1252411560948928*a(n-39) -20239125212160*a(n-40)

A229409 Number of nX5 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

Original entry on oeis.org

819, 199595, 49788258, 12462062342, 3113479414050, 777638567093963, 194334416016079648, 48554820719187209670, 12132494321992628909959, 3031488710689140016181815, 757470261215571296326841223
Offset: 1

Views

Author

R. H. Hardin Sep 22 2013

Keywords

Comments

Column 5 of A229412

Examples

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

A229410 Number of nX6 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

Original entry on oeis.org

3105, 2127718, 1519840402, 1088122273732, 777638567093963, 555943964324988272, 397464769862060665547, 284105148255669874762809, 203090587265539495545226411, 145172630350979718652322109853
Offset: 1

Views

Author

R. H. Hardin Sep 22 2013

Keywords

Comments

Column 6 of A229412

Examples

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

A229411 Number of nX7 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally.

Original entry on oeis.org

11772, 22684613, 46408035676, 95053083585891, 194334416016079648, 397464769862060665547, 812793729526357032659346, 1662077845986538386898746421, 3398973083707574732833877530359
Offset: 1

Views

Author

R. H. Hardin Sep 22 2013

Keywords

Comments

Column 7 of A229412

Examples

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