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 11 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

A069295 Number of n X 4 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

29, 581, 10269, 172143, 2816409, 45550691, 732630205, 11751896403, 188262802525, 3014016321451, 48238373155229, 771923890744731, 12351638368337101, 197632881512065275, 3162178031998196717
Offset: 2

Views

Author

R. H. Hardin, Mar 14 2002

Keywords

Crossrefs

Cf. n X 2 A002450, n X 3 A069294, 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.

A069296 Number of n X 5 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

70, 3070, 114344, 3958316, 132103824, 4324832140, 140129819328, 4514892704132, 145019645494844, 4650208682728432, 148975517675350528, 4770190643433011072, 152698472130740768840, 4887273170271827787216
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 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.

A069297 Number of n X 6 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

169, 16227, 1275129, 91369811, 6238756831, 414680716163, 27139451744971, 1760130435695027, 113542011614104379, 7301005843380595779, 468579743984737735163, 30039462248781247552723
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 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.

Extensions

a(10)-a(13) from Sean A. Irvine, Apr 24 2024

A069298 Number of n X 7 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

408, 85776, 14226710, 2112274668, 295545642334, 39959490285500, 5292500285670344, 692128295029569712, 89798972465698310480, 11592951743199556912876, 1491945234246315077238684, 191623912389094140723074272
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 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.

Extensions

a(7)-a(13) from Sean A. Irvine, Apr 25 2024

A069300 Number of n X 9 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

2378, 2396868, 1771648672, 1130534931080, 665580139683936, 373423075547578456, 203239076083010593472, 108443838410200501279708, 57104283197019200756790188, 29803331617203085845704313992, 15460814292574112201614850454092, 7987403217621240109184116174886680
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 10 A069301, n X 11 A069302, n X 12 A069303, n X 13 A069304, n X 14 A069305, read by rows A069306-A069320.

Extensions

a(7)-a(13) from Sean A. Irvine, Apr 25 2024

A069301 Number of n X 10 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

5741, 12670261, 19771329973, 26160665637805, 31605577678427531, 36146216722785667861, 39916149930281967457205, 43066986985849138740694549, 45738751568329997358178054329, 48049989770896486757102805620329, 50096394975413699108192666406325657
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 11 A069302, n X 12 A069303, n X 13 A069304, n X 14 A069305, read by rows A069306-A069320.

Extensions

a(6)-a(12) from Sean A. Irvine, Apr 25 2024

A069302 Number of n X 11 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

13860, 66977242, 220646655318, 605385196535596, 1501028805154667736, 3500044399151834410528, 7844661838902748923237822, 17121637307123834033940314568, 36691638903540665604692077389476, 77626289171582272584203485766947172
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 12 A069303, n X 13 A069304, n X 14 A069305, read by rows A069306-A069320.

Extensions

a(6)-a(11) from Sean A. Irvine, Apr 25 2024

A069303 Number of n X 12 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.

Original entry on oeis.org

33461, 354053617, 2462407613981, 14009490587031167, 71292415421456529651, 338969996144009158522891, 1542263634548542336151173999, 6811155547203848959429866325465, 29462439537258441022480797977381647, 125575826853940088096659037959183104657
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 13 A069304, n X 14 A069305, read by rows A069306-A069320.

Extensions

a(6)-a(11) from Sean A. Irvine, Apr 25 2024
Showing 1-10 of 11 results. Next

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

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