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.

A209521 Number of nX2 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

Original entry on oeis.org

2, 6, 57, 700, 10677, 193676, 4054358, 95534880, 2472405340, 68613576496, 1999809519672, 60231323048000, 1853103730499696, 57790053276242496, 1817609007303894496, 57472115932658904064, 1823283879810883824576
Offset: 1

Views

Author

R. H. Hardin Mar 10 2012

Keywords

Comments

Column 2 of A209527

Examples

			Some solutions for n=5
..0..0....0..0....0..0....0..0....0..0....0..0....0..1....0..0....0..0....0..0
..1..2....1..2....1..2....1..2....1..2....1..2....0..2....1..2....1..2....1..2
..0..1....0..1....0..2....0..0....0..0....1..3....0..1....0..0....0..0....1..3
..2..0....0..2....3..0....3..4....1..2....0..3....3..3....1..2....2..3....0..0
..0..1....1..0....0..1....0..3....2..0....3..4....2..0....0..0....0..0....1..2
		

Formula

Empirical: a(n) = 68*a(n-1) -1410*a(n-2) +5696*a(n-3) +105944*a(n-4) -757536*a(n-5) -1207008*a(n-6) +7568640*a(n-7) +13260672*a(n-8) +4354560*a(n-9) for n>10

A209522 Number of nX3 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

Original entry on oeis.org

5, 57, 2027, 107693, 7700397, 687132348, 71519658191, 8190834795146, 990354435624550, 123286203872982432, 15583473550178836892, 1985385176761852694734, 253978177065210815069458
Offset: 1

Views

Author

R. H. Hardin Mar 10 2012

Keywords

Comments

Column 3 of A209527

Examples

			Some solutions for n=5
..0..0..0....0..0..1....0..0..0....0..0..0....0..0..1....0..1..0....0..0..0
..1..2..1....1..2..2....1..2..1....1..2..1....2..1..3....0..2..1....1..2..1
..0..0..1....0..0..1....3..2..3....0..0..0....3..1..0....0..1..0....0..0..0
..1..2..0....1..2..0....0..0..0....1..2..1....0..0..2....0..2..1....1..2..1
..0..0..1....2..0..1....1..2..1....3..2..3....1..2..1....1..1..0....3..1..0
		

Formula

Empirical: a(n) = 272*a(n-1) -24648*a(n-2) +828436*a(n-3) +149527*a(n-4) -622108500*a(n-5) +12598172586*a(n-6) -33558174264*a(n-7) -1578553176492*a(n-8) +17819275800656*a(n-9) -28667330106760*a(n-10) -594252767603616*a(n-11) +3792849444610432*a(n-12) -4923895161267584*a(n-13) -25653638667831936*a(n-14) +97101168572132352*a(n-15) -88244422976636928*a(n-16) -79190406866239488*a(n-17) +174755710679777280*a(n-18) -81018004244004864*a(n-19) +7489524376535040*a(n-20) for n>21

A209523 Number of nX4 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

Original entry on oeis.org

15, 700, 107693, 27323948, 9700576474, 4194606038254, 2002617518101082, 999998646599976052, 509185650061380676984, 261448697342101358568952, 134726519599100535344614118, 69532388907494477391456512054
Offset: 1

Views

Author

R. H. Hardin Mar 10 2012

Keywords

Comments

Column 4 of A209527

Examples

			Some solutions for n=5
..0..0..0..1....0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..1..2..1..2....2..0..2..3....1..2..3..1....1..2..1..2....1..2..1..2
..0..0..0..0....2..1..1..1....2..0..2..1....0..0..1..0....3..1..4..4
..2..1..2..1....0..0..2..0....0..1..2..0....1..2..1..2....5..1..6..7
..2..0..0..0....2..3..0..1....0..2..0..1....0..0..2..3....2..1..5..5
		

Formula

Empirical: a(n) = 741*a(n-1) -80239*a(n-2) -27206821*a(n-3) +4305035452*a(n-4) +223990610212*a(n-5) -54620780269672*a(n-6) +80102456008496*a(n-7) +269012192646842580*a(n-8) -5707166224378420708*a(n-9) -614361714034268393448*a(n-10) +20349127506784034500304*a(n-11) +678382194937846639652480*a(n-12) -31846630475071645146740528*a(n-13) -302516138167984951194348896*a(n-14) +26095927856414661783174115840*a(n-15) -42282326119900772602090488064*a(n-16) -11829904605301568248908018568000*a(n-17) +95434060058346872198828125007744*a(n-18) +3049598030451163236051411209616896*a(n-19) -40328192983623784101590586927442944*a(n-20) -439535105889627937805745674742651136*a(n-21) +8800995724627097037828678826851591680*a(n-22) +29877440033653195430840885415475181568*a(n-23) -1153471451160086939353282980879345710080*a(n-24) +361417465904520256348084988960166447104*a(n-25) +96388134984267610666941969352759061807104*a(n-26) -237433518884853914547549341361474933817344*a(n-27) -5316540495638084469441833849843792059400192*a(n-28) +20393494451129478050239694172720827330625536*a(n-29) +199181629390484462577756831982634501905514496*a(n-30) -943607730208397458178494653466136607616663552*a(n-31) -5231256737767831422266603443721419521122631680*a(n-32) +27394524698903915462065541938127887707381170176*a(n-33) +99803868178309860951994852593262049142125887488*a(n-34) -524113006115435854526959526490815473303230087168*a(n-35) -1425032472189917422814910850409521554940678373376*a(n-36) +6686272751430261305221763448226565325352171732992*a(n-37) +15273084369730432523206297036506635896548728242176*a(n-38) -56091093092375144843369119047605323562566155239424*a(n-39) -118040785197556405677917396892327617921876131577856*a(n-40) +298630920918555211168409478061760437589237135572992*a(n-41) +608824256895510126291165994808739474478152800010240*a(n-42) -962534419711355112597884657611613718482518636756992*a(n-43) -1905011080779867767627757598039656592066040429543424*a(n-44) +1823172121497981180819938155626702329391913793224704*a(n-45) +3277374088192893278994603970667689592637714126077952*a(n-46) -2092753233712097492555446237792429997925054491394048*a(n-47) -2790425203670748510069753611132555534785277570580480*a(n-48) +1448099586316124905615364077335799871278771548979200*a(n-49) +912421745734027603434708150458948967598456307712000*a(n-50) -462466146321083955411362178920173757818680115200000*a(n-51) for n>52

A209524 Number of nX5 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

Original entry on oeis.org

52, 10677, 7700397, 9700576474, 16484968944748, 31813625228165210, 64398780661554524050, 132601740316897661044124, 274696694967972306834304958, 570286527927816153297022623334
Offset: 1

Views

Author

R. H. Hardin Mar 10 2012

Keywords

Comments

Column 5 of A209527

Examples

			Some solutions for n=5
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..1..0..1..0
..1..2..1..2..1....1..2..1..2..1....1..2..1..2..3....0..2..2..0..2
..1..0..0..0..2....0..0..0..1..0....1..3..3..1..2....2..1..3..3..2
..3..1..4..1..1....3..1..2..2..1....4..4..5..1..4....4..4..1..0..0
..0..0..4..5..0....3..2..0..3..2....5..6..6..5..1....0..2..1..5..1
		

A209525 Number of nX6 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

Original entry on oeis.org

203, 193676, 687132348, 4194606038254, 31813625228165210, 258381047085271692456, 2141993311657850070458667, 17864055554315250609266434532, 149250234599404559427873678874309
Offset: 1

Views

Author

R. H. Hardin Mar 10 2012

Keywords

Comments

Column 6 of A209527

Examples

			Some solutions for n=5
..0..0..0..0..0..0....0..0..0..1..0..1....0..1..0..0..1..2....0..1..0..0..0..0
..1..2..1..2..1..3....1..2..1..3..0..2....0..2..2..1..2..0....0..2..2..1..2..3
..0..0..0..0..0..0....0..0..0..0..1..0....0..1..0..0..2..1....0..1..0..0..0..3
..4..5..4..5..6..1....1..2..1..2..2..0....1..3..1..2..1..0....1..4..4..1..2..2
..4..1..1..1..1..0....0..2..0..1..3..0....0..0..0..0..0..2....1..3..2..1..3..4
		

A209520 Number of n X n 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

Original entry on oeis.org

1, 6, 2027, 27323948, 16484968944748, 258381047085271692456
Offset: 1

Views

Author

R. H. Hardin Mar 10 2012

Keywords

Comments

Diagonal of A209527

Examples

			Some solutions for n=5
..0..0..0..0..0....0..0..0..0..0....0..0..0..1..0....0..0..0..0..1
..1..2..1..2..1....1..2..1..2..3....1..2..3..0..2....1..2..1..3..3
..2..3..2..0..0....1..3..3..1..2....0..0..2..0..1....2..0..0..0..1
..1..1..1..1..2....4..4..5..1..4....4..1..0..1..2....1..1..2..1..2
..0..2..0..2..0....5..6..6..5..1....1..2..0..2..0....0..2..0..0..0
		

A209526 Number of nX7 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order.

Original entry on oeis.org

877, 4054358, 71519658191, 2002617518101082, 64398780661554524050, 2141993311657850070458667
Offset: 1

Views

Author

R. H. Hardin Mar 10 2012

Keywords

Comments

Column 7 of A209527

Examples

			Some solutions for n=5
..0..0..0..0..0..1..0....0..0..0..0..0..0..0....0..0..0..0..1..2..0
..1..2..1..2..1..2..0....1..2..1..3..1..2..1....1..2..1..3..1..4..4
..1..3..2..4..2..0..1....2..3..3..0..0..0..0....0..0..2..1..4..2..0
..4..1..1..2..0..3..3....0..0..1..1..2..3..1....2..3..0..2..2..0..1
..0..0..2..3..3..2..0....1..4..0..2..0..2..2....1..2..2..1..3..0..3
		
Showing 1-7 of 7 results.