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 30 results. Next

A069294 Number of n X 3 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

12, 110, 926, 7556, 60920, 488860, 3915640, 31340216, 250769592, 2006308480, 16050948896, 128409116176, 1027277763840, 8218237436320, 65745948074080, 525967738606656, 4207742397091072, 33661940724484800, 269295530702399616
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Links

Crossrefs

Cf. n X 2 A002450, n X 4 A069295, n X 5 A069296, n X 6 A069297, n X 7 A069298, n X 8 A069299, n X 9 A069300, n X 10 A069301, n X 11 A069302, n X 12 A069303, n X 13 A069304, n X 14 A069305, read by rows A069306-A069320.

Programs

  • Magma
    I:=[12, 110, 926, 7556]; [n le 4 select I[n] else 12*Self(n-1) - 34*Self(n-2) +14*Self(n-3) + 16*Self(n-4): n in [1..30]]; // G. C. Greubel, Apr 22 2018
  • Mathematica
    LinearRecurrence[{12, -34, 14, 16}, {12, 110, 926, 7556}, 50] (* G. C. Greubel, Apr 22 2018 *)
  • PARI
    a(n)=([0,1,0,0; 0,0,1,0; 0,0,0,1; 16,14,-34,12]^(n-2)*[12;110;926;7556])[1,1] \\ Charles R Greathouse IV, May 10 2016
  • PARI
    x='x+O('x^30); Vec(2*x^2*(6-17*x+7*x^2+8*x^3)/((1-8*x)*(2*x^3 +2*x^2-4*x+1))) \\ G. C. Greubel, Apr 22 2018

Formula

G.f.: 2*x^2*(6-17*x+7*x^2+8*x^3)/(1-8*x)/(2*x^3+2*x^2-4*x+1). - Vladeta Jovovic, Jul 02 2003

A069305 Number of n X 14 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

195025, 9893561055, 306680449108553, 7502586497280931603, 160836875185955529578497, 3180073668375520890944381755, 59642420242861089993013318912175, 1078941052043395111216099344387994533, 19026742282555500292841393785480166859877
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Crossrefs

Cf. n X 2 A002450, n X 3 A069294, n X 4 A069295, n X 5 A069296, n X 6 A069297, n X 7 A069298, n X 8 A069299, n X 9 A069300, n X 10 A069301, n X 11 A069302, n X 12 A069303, n X 13 A069304, read by rows A069306-A069320.

Extensions

a(6)-a(10) from Sean A. Irvine, Apr 26 2024

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

A069313 Number of 9 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

87381, 31340216, 11751896403, 4514892704132, 1760130435695027, 692128295029569712, 273552889555043981667, 108443838410200501279708, 43066986985849138740694549, 17121637307123834033940314568, 6811155547203848959429866325465, 2710567644648890574598792001139520
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, 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
Showing 1-10 of 30 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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