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 1-10 of 14 results. Next

A069306 Number of 2 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

5, 12, 29, 70, 169, 408, 985, 2378, 5741, 13860, 33461, 80782, 195025, 470832, 1136689, 2744210, 6625109, 15994428, 38613965, 93222358, 225058681, 543339720, 1311738121, 3166815962, 7645370045, 18457556052, 44560482149, 107578520350, 259717522849, 627013566048, 1513744654945, 3654502875938
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. A069307 (3 X n), A069308 (4 X n), A069309 (5 X n), A069310 (6 X n), A069311 (7 X n), A069312 (8 X n), A069313 (9 X n), A069314 (10 X n), A069315 (11 X n), A069316 (12 X n), A069317 (13 X n), A069318 (14 X n), A069319 (15 X n), A069320 (16 X n).
Cf. A069294-A069305 (by columns).
Cf. A000129, A048624, A077985.

Programs

  • Mathematica
    LinearRecurrence[{2, 1}, {5, 12}, 50] (* Paolo Xausa, Jul 19 2024 *)

Formula

G.f.: x^2(2x+5)/(1-2x-x^2). a(n) = A000129(n+1), as proved by Tomislav Doslic. - Ralf Stephan, Nov 16 2004
a(n) = 2*a(n-1)+a(n-2). [Philippe Deléham, Nov 20 2008]

A069320 Number of 16 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

1431655765, 65745948074080, 3162178031998196717, 156408973727702579374000
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 5 X n A069309, 6 X n A069310, 7 X n A069311, 8 X n A069312, 9 X n A069313, 10 X n A069314, 11 X n A069315, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, by columns A069294-A069305.

A069308 Number of 4 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

85, 926, 10269, 114344, 1275129, 14226710, 158755329, 1771648672, 19771329973, 220646655318, 2462407613981, 27480393415984, 306680449108553, 3422545943800702, 38195526542871473, 426261120804626008
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 5 X n A069309, 6 X n A069310, 7 X n A069311, 8 X n A069312, 9 X n A069313, 10 X n A069314, 11 X n A069315, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

A069309 Number of 5 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

341, 7556, 172143, 3958316, 91369811, 2112274668, 48861110849, 1130534931080, 26160665637805, 605385196535596, 14009490587031167, 324202249915245972, 7502586497280931603, 173622714928362682332, 4017929413014868925321, 92981844689395440980600
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 6 X n A069310, 7 X n A069311, 8 X n A069312, 9 X n A069313, 10 X n A069314, 11 X n A069315, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

A069310 Number of 6 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

1365, 60920, 2816409, 132103824, 6238756831, 295545642334, 14020698615685, 665580139683936, 31605577678427531, 1501028805154667736, 71292415421456529651, 3386189554819795682250, 160836875185955529578497, 7639466332037337857340948, 362862300943189672121948117
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 5 X n A069309, 7 X n A069311, 8 X n A069312, 9 X n A069313, 10 X n A069314, 11 X n A069315, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

Extensions

More terms from Sean A. Irvine, Apr 26 2024

A069311 Number of 7 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

5461, 488860, 45550691, 4324832140, 414680716163, 39959490285500, 3860368291738151, 373423075547578456, 36146216722785667861, 3500044399151834410528, 338969996144009158522891, 32831359005580196869725148, 3180073668375520890944381755
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 5 X n A069309, 6 X n A069310, 8 X n A069312, 9 X n A069313, 10 X n A069314, 11 X n A069315, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

Extensions

More terms from Sean A. Irvine, Apr 26 2024

A069312 Number of 8 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

21845, 3915640, 732630205, 140129819328, 27139451744971, 5292500285670344, 1036037626157286045, 203239076083010593472, 39916149930281967457205, 7844661838902748923237822, 1542263634548542336151173999, 303271759994928192091591236664
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 5 X n A069309, 6 X n A069310, 7 X n A069311, 9 X n A069313, 10 X n A069314, 11 X n A069315, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

Extensions

More terms from Sean A. Irvine, Apr 26 2024

A069314 10 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

349525, 250769592, 188262802525, 145019645494844, 113542011614104379, 89798972465698310480, 71469066339273464672861, 57104283197019200756790188, 45738751568329997358178054329, 36691638903540665604692077389476, 29462439537258441022480797977381647
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 5 X n A069309, 6 X n A069310, 7 X n A069311, 8 X n A069312, 9 X n A069313, 11 X n A069315, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

Extensions

More terms from Sean A. Irvine, Apr 26 2024

A069315 Number of 11 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

1398101, 2006308480, 3014016321451, 4650208682728432, 7301005843380595779, 11592951743199556912876, 18543498700760853810422275, 29803331617203085845704313992, 48049989770896486757102805620329, 77626289171582272584203485766947172
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 5 X n A069309, 6 X n A069310, 7 X n A069311, 8 X n A069312, 9 X n A069313, 10 X n A069314, 12 X n A069316, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

Extensions

More terms from Sean A. Irvine, Apr 26 2024

A069316 Number of 12 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

5592405, 16050948896, 48238373155229, 148975517675350528, 468579743984737735163, 1491945234246315077238684, 4789484633305049073669332993, 15460814292574112201614850454092, 50096394975413699108192666406325657, 162737494025555699251138581672556381200
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. 2 X n A069306, 3 X n A069307, 4 X n A069308, 5 X n A069309, 6 X n A069310, 7 X n A069311, 8 X n A069312, 9 X n A069313, 10 X n A069314, 11 X n A069315, 13 X n A069317, 14 X n A069318, 15 X n A069319, 16 X n A069320, by columns A069294-A069305.

Extensions

More terms from Sean A. Irvine, Apr 26 2024
Showing 1-10 of 14 results. Next

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