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.

A209459 Number of nX2 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.

Original entry on oeis.org

2, 6, 57, 700, 10676, 192994, 3966581, 89157292, 2122477292, 52308803176, 1315354516436, 33456562887760, 856485703088336, 22005434702222368, 566526069249475088, 14601678389694957760, 376583948372941600448
Offset: 1

Views

Author

R. H. Hardin Mar 09 2012

Keywords

Comments

Column 2 of A209465

Examples

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

Formula

Empirical: a(n) = 44*a(n-1) -456*a(n-2) -1360*a(n-3) +25892*a(n-4) +16752*a(n-5) -259776*a(n-6) -406080*a(n-7) -129600*a(n-8) for n>9

A209460 Number of nX3 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.

Original entry on oeis.org

5, 57, 2027, 107472, 7487423, 613535578, 54657856108, 5063931781244, 477499692659113, 45377744955417080, 4327164788760402815, 413256848215007047168, 39493493565836673722433, 3775359326879189119846436
Offset: 1

Views

Author

R. H. Hardin Mar 09 2012

Keywords

Comments

Column 3 of A209465

Examples

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

Formula

Empirical: a(n) = 172*a(n-1) -8737*a(n-2) +125848*a(n-3) +1640003*a(n-4) -58941308*a(n-5) +441046249*a(n-6) +799433456*a(n-7) -23572369886*a(n-8) +84702514904*a(n-9) +67645214404*a(n-10) -904101250144*a(n-11) +1363565491464*a(n-12) +425476260576*a(n-13) -2084864162400*a(n-14) +1100743344000*a(n-15) -104976000000*a(n-16) for n>17

A209461 Number of nX4 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.

Original entry on oeis.org

15, 700, 107472, 26142922, 8012278798, 2694404849980, 937020001725427, 329698685591776814, 116478477506382991586, 41208120649861041328594, 14585813504694387764542258, 5163586671381153188498288526
Offset: 1

Views

Author

R. H. Hardin Mar 09 2012

Keywords

Comments

Column 4 of A209465

Examples

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

Formula

Empirical: a(n) = 445*a(n-1) -16724*a(n-2) -6829442*a(n-3) +425591990*a(n-4) +24184676824*a(n-5) -2003243723592*a(n-6) -13763458467748*a(n-7) +3056362447165464*a(n-8) -21627878272249304*a(n-9) -2029212853652220216*a(n-10) +28420879571353866736*a(n-11) +629172550069243165424*a(n-12) -12639966451485066876640*a(n-13) -86182077853495170865408*a(n-14) +2735491326134206206383232*a(n-15) +2903173644048356636793984*a(n-16) -330995326037510772586662272*a(n-17) +548472275306500667348231040*a(n-18) +24119429078647666871628591360*a(n-19) -73980455487855760024028638464*a(n-20) -1106883636299545527909945293312*a(n-21) +4138072035906627647242997043200*a(n-22) +33143037572510239567740461978624*a(n-23) -127626560667065292804603082412032*a(n-24) -670244550685808176819553023221760*a(n-25) +2324071862180088735462417275084800*a(n-26) +9301947054683461351288165219942400*a(n-27) -25275371467923494811033198815182848*a(n-28) -86564162243269555830237302308208640*a(n-29) +160836131708205440217973980668624896*a(n-30) +508044890654947403039030776702173184*a(n-31) -580869391543190835146635714165211136*a(n-32) -1736356953978805111720511551328747520*a(n-33) +1196798002553675840426691890553815040*a(n-34) +3180957198473295518827632622829568000*a(n-35) -1545683172554581444784017951948800000*a(n-36) -2843829257934103086795545640960000000*a(n-37) +1252556305409710302651482112000000000*a(n-38) +967672505058411923531366400000000000*a(n-39) -457884355579447187865600000000000000*a(n-40) for n>41

A209462 Number of nX5 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.

Original entry on oeis.org

52, 10676, 7487423, 8012278798, 9920302864598, 12804264249973850, 16716447554895729642, 21891626720034635715808, 28693157762856925081512056, 37616484231411781150938946180, 49317969569601496772488372952619
Offset: 1

Views

Author

R. H. Hardin Mar 09 2012

Keywords

Comments

Column 5 of A209465

Examples

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

A209463 Number of nX6 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.

Original entry on oeis.org

203, 192994, 613535578, 2694404849980, 12804264249973850, 61881181615562063430, 300152638733732557375867, 1457000130370973265198610110, 7073741096426369034220117508698
Offset: 1

Views

Author

R. H. Hardin Mar 09 2012

Keywords

Comments

Column 6 of A209465

Examples

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

A209458 Number of n X n 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.

Original entry on oeis.org

1, 6, 2027, 26142922, 9920302864598, 61881181615562063430
Offset: 1

Views

Author

R. H. Hardin Mar 09 2012

Keywords

Comments

Diagonal of A209465

Examples

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

A209464 Number of nX7 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order.

Original entry on oeis.org

877, 3966581, 54657856108, 937020001725427, 16716447554895729642, 300152638733732557375867
Offset: 1

Views

Author

R. H. Hardin Mar 09 2012

Keywords

Comments

Column 7 of A209465

Examples

			Some.solutions.for.n=4
..0..0..0..0..0..1..1....0..0..0..0..0..0..0....0..0..1..0..2..3..0
..1..2..1..2..1..3..4....1..2..1..2..1..2..1....1..2..0..2..1..1..3
..5..5..1..3..1..4..0....3..1..4..4..1..3..1....0..0..1..0..2..3..4
..6..1..0..3..4..2..2....1..4..5..3..1..6..6....3..1..2..0..4..4..0
		
Showing 1-7 of 7 results.