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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A247735 Total number of F shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 4, 68, 744, 7088, 69176, 658776, 5995348, 52831448, 458439732, 3944077760, 33606901296, 283630894720, 2375471834288, 19779055344468, 163866917256420, 1351464466008112, 11100931884955344, 90860898121739864, 741378713523090200, 6032337718479599100
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247702(n,k).

A247736 Total number of I shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 1, 2, 11, 122, 2278, 17502, 140037, 1250890, 11184764, 96901618, 810143038, 6787465080, 56871594099, 473417649550, 3913478050583, 32192184170708, 264014564271675, 2158561440821352, 17592866753339355, 142983916007396542, 1159269824603687631, 9378694043134778568
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247703(n,k).

A247737 Total number of L shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 4, 24, 436, 3888, 29880, 264460, 2353136, 20400352, 171215320, 1430108512, 11962161392, 99523393628, 822501750184, 6763177931936, 55433124540308, 453013557727460, 3690931980743340, 29988435689294280, 243064471330287696, 1965884816120576180
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247704(n,k).

A247738 Total number of N shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.

Original entry on oeis.org

0, 0, 0, 8, 88, 1024, 10388, 99840, 935900, 8415368, 74295280, 645535244, 5545784444, 47152918764, 397457338488, 3327197881716, 27688757985292, 229256300558340, 1889667799688076, 15514699106805468, 126939424800685264, 1035396864840877088, 8421920979218715332
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Formula

a(n) = Sum_{k>0} k * A247705(n,k).

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).
Previous Showing 51-60 of 81 results. Next