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.

Previous Showing 61-70 of 81 results. Next

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

A247768 Number of tilings of a 5 X n rectangle using n pentominoes of any but the L shape.

Original entry on oeis.org

1, 1, 3, 36, 177, 1300, 8866, 54849, 372943, 2466986, 16335736, 108823634, 719573862, 4776148981, 31691581679, 210171600724, 1394511598079, 9249464911748, 61356588838016, 407022840274446, 2699962045755658, 17910503042677994, 118809774179725990
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247704.

Formula

a(n) ~ c * d^n, where d = 6.63354739064799173452910396285896274912377276863088340465087347768..., c = 0.09918446577271493875329249874198830860996222825871620867051185835... . - Vaclav Kotesovec, Mar 05 2016

A247769 Number of tilings of a 5 X n rectangle using n pentominoes of any but the N shape.

Original entry on oeis.org

1, 1, 5, 48, 423, 3082, 18998, 133083, 965175, 6907447, 48357538, 337492571, 2379164196, 16812509746, 118525108279, 834050273099, 5871294215587, 41366373307538, 291469733924989, 2053121255070040, 14460522145205162, 101855876591455305, 717493569094700741
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247705.

Formula

a(n) ~ c * d^n, where d = 7.04397539498320599943308475324574337362579863618900362092946272591..., c = 0.15989322823686781502117997501523372089722059935465319293786933934... . - Vaclav Kotesovec, Mar 05 2016

A247770 Number of tilings of a 5 X n rectangle using n pentominoes of any but the P shape.

Original entry on oeis.org

1, 1, 3, 16, 135, 944, 4814, 26435, 158761, 978044, 5847896, 34112584, 200686378, 1192024482, 7093151801, 42038865123, 248625856115, 1472077262971, 8724918986240, 51715149361624, 306384777098954, 1814848220902299, 10751681585808618, 63702848673263049
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247706.

A247771 Number of tilings of a 5 X n rectangle using n pentominoes of any but the T shape.

Original entry on oeis.org

1, 1, 5, 50, 437, 3270, 21720, 160593, 1209537, 8999307, 66054288, 485082083, 3583263174, 26469863097, 195317239597, 1440271919247, 10624063817149, 78389991175482, 578363501074881, 4266856868607953, 31478045125433448, 232231064765922254, 1713315860292710073
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247707.

A247772 Number of tilings of a 5 X n rectangle using n pentominoes of any but the U shape.

Original entry on oeis.org

1, 1, 5, 39, 369, 2908, 19185, 137200, 1022915, 7606043, 55699672, 405617356, 2969215193, 21791407596, 159806458014, 1170659384512, 8574740528977, 62830753812692, 460445907547463, 3374031670320652, 24722398637797408, 181148733466258107, 1327366881461315358
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247708.

A247773 Number of tilings of a 5 X n rectangle using n pentominoes of any but the V shape.

Original entry on oeis.org

1, 1, 5, 38, 329, 2614, 17400, 122843, 901647, 6662758, 48492622, 351153718, 2549170764, 18557754476, 135119522565, 982657665633, 7145326366447, 51965861513279, 377997475235382, 2749505470031020, 19998020429893220, 145451451407796951, 1057925773226867974
Offset: 0

Views

Author

Alois P. Heinz, Sep 23 2014

Keywords

Crossrefs

Column k=0 of A247709.
Previous Showing 61-70 of 81 results. Next