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.

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A247739 Total number of P shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 4, 60, 556, 5328, 45316, 405636, 3583136, 30801264, 261702184, 2204389124, 18485952896, 154072120428, 1276431617512, 10525735832272, 86463238965520, 707822586795020, 5776135319900600, 47001025464956044, 381480686633266156, 3089168335328298424, 24963223479997963992
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247706(n,k).

A247740 Total number of T shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 6, 66, 772, 6760, 60122, 552930, 4887052, 42365416, 361418592, 3063883318, 25819450218, 215875963118, 1793852851690, 14833014554258, 122147248758898, 1002084660185318, 8192705916505028, 66777880125812344, 542833111487459532, 4401913323626254612, 35616479684643020150
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247707(n,k).

A247741 Total number of U shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 18, 144, 1196, 10122, 92280, 821038, 6991890, 58992846, 496243152, 4159529298, 34612046520, 286233965312, 2357133355050, 19343135795244, 158206906810656, 1289891352293998, 10487551431195780, 85061169561727062, 688372469609962898, 5559403964257012514
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247708(n,k).

A247742 Total number of V shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 20, 192, 1568, 12636, 114216, 1022604, 8640980, 72406668, 605996308, 5065065936, 42045917448, 346705312932, 2848191025876, 23325323646860, 190440300054560, 1550193295412264, 12585187313440032, 101937894879304356, 823951520087842720, 6646993031822674592
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247709(n,k).

A247743 Total number of W shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 0, 48, 528, 4752, 44080, 408192, 3738692, 32818416, 282587664, 2417602560, 20523442012, 172798010156, 1443679767220, 11992713950224, 99165736820120, 816514750434924, 6697254233908596, 54745726513283448, 446174778295639204, 3626566397497170096
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247710(n,k).

A247744 Total number of X shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 1, 8, 76, 752, 7728, 76138, 683740, 6016612, 52483260, 453461612, 3873299197, 32718505462, 274368261226, 2287565667766, 18973561019204, 156622182476404, 1287479429817295, 10545476231546336, 86101164740284870, 700977394316933694, 5692064258367318333
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247711(n,k).

A247745 Total number of Y shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 12, 224, 2096, 17732, 160624, 1498176, 13404068, 115123856, 980282312, 8327179132, 70264899456, 587727020332, 4882463109244, 40378339971868, 332612594766452, 2729309532474820, 22316919930250328, 181922495487675520, 1479018078159317720
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247712(n,k).

A247746 Total number of Z shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 4, 52, 532, 4772, 44624, 413332, 3704668, 32312456, 277318708, 2365831332, 20023322874, 168065885292, 1401084600204, 11617827516556, 95910742322858, 788559509624036, 6459527069162538, 52742304806108492, 429408151732020490, 3487057360672870112
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247713(n,k).

A247766 Number of tilings of a 5 X n rectangle using n pentominoes of any but the F shape.

Original entry on oeis.org

1, 1, 5, 52, 437, 3342, 21734, 155685, 1153475, 8422634, 60853524, 438333924, 3175356262, 23029289042, 166811590187, 1207552045117, 8742472744191, 63314217459429, 458530998840648, 3320452657540486, 24044504957977794, 174117682083426003, 1260888371373690768
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247702.

Formula

a(n) ~ c * d^n, where d = 7.241529119192925682256364476268481441420871104664776204493646758..., c = 0.152901253189973886265833028181003326101047083395939246873454890... . - Vaclav Kotesovec, Mar 05 2016

A247767 Number of tilings of a 5 X n rectangle using n pentominoes of any but the I shape.

Original entry on oeis.org

1, 0, 4, 47, 394, 2082, 15113, 111664, 789930, 5388729, 37962036, 267900038, 1877701685, 13141471298, 92221485370, 647245199343, 4539199525168, 31832400653712, 223293082430497, 1566297779277274, 10986034079244754, 77056637214925187, 540492511401025908
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247703.

Formula

a(n) ~ c * d^n, where d = 7.01416750857825226506514643912781291412359726219671934675693027314..., c = 0.13222555150807010834232270820065757694578512718826743587412093176... . - Vaclav Kotesovec, Mar 05 2016
Previous Showing 51-60 of 75 results. Next