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 11-17 of 17 results.

A155644 a(n) = 11^n-5^n+1.

Original entry on oeis.org

1, 7, 97, 1207, 14017, 157927, 1755937, 19409047, 213968257, 2355994567, 25927658977, 285262842487, 3138184236097, 34521491440807, 379743730067617, 4177217651837527, 45949577275681537, 505446265559840647
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 30 2009

Keywords

Links

Crossrefs

Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643.

Programs

  • Mathematica
    Table[11^n-5^n+1,{n,0,20}] (* or *) LinearRecurrence[{17, -71, 55}, {1, 7, 97}, 20] (* Harvey P. Dale, Jul 11 2011 *)
  • PARI
    a(n)=11^n-5^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-11*x)-1/(1-5*x)+1/(1-x).
E.g.f.: e^(11*x)-e^(5*x)+e^x.
a(n) = 16*a(n-1)-55*a(n-2)+40 with a(0)=1, a(1)=7. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=7, a(2)=97, a(n) = 17*a(n-1)-71*a(n-2)+55*a(n-3). - Harvey P. Dale, Jul 11 2011

A155653 10^n-6^n+1.

Original entry on oeis.org

1, 5, 65, 785, 8705, 92225, 953345, 9720065, 98320385, 989922305, 9939533825, 99637202945, 997823217665, 9986939305985, 99921635835905, 999529815015425, 9997178890092545, 99983073340555265, 999898440043331585
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652.

Programs

Formula

G.f.: 1/(1-10*x)-1/(1-6*x)+1/(1-x). E.g.f.: e^(10*x)-e^(6*x)+e^x.
a(n)=16*a(n-1)-60*a(n-2)+45 with a(0)=1, a(1)=5 - Vincenzo Librandi, Jul 21 2010

A155659 a(n) = 8^n - 7^n + 1.

Original entry on oeis.org

1, 2, 16, 170, 1696, 15962, 144496, 1273610, 11012416, 93864122, 791266576, 6612607850, 54878189536, 452866803482, 3719823438256, 30436810578890, 248242046141056, 2019169299698042, 16385984911571536, 132716292890482730, 1073129238309234976, 8664826172771491802
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658.

Programs

Formula

G.f.: 1/(1-8*x)-1/(1-7*x)+1/(1-x).
E.g.f.: exp(8*x)-exp(7*x)+exp(x).
a(n) = 15*a(n-1)-56*a(n-2)+42 with a(0) = 1, a(1) = 2. - Vincenzo Librandi, Jul 21 2010

A155645 a(n) = 7^n+6^n-1.

Original entry on oeis.org

1, 12, 84, 558, 3696, 24582, 164304, 1103478, 7444416, 50431302, 342941424, 2340123798, 16018069536, 109949704422, 756587236944, 5217746494518, 36054040477056, 249557173431942, 1729973554578864, 12008254925383638
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644.

Programs

  • Mathematica
    Table[7^n+6^n-1,{n,0,20}] (* or *) LinearRecurrence[{14,-55,42},{1,12,84},20] (* Harvey P. Dale, May 08 2012 *)
  • PARI
    a(n)=7^n+6^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-7*x)+1/(1-6*x)-1/(1-x).
E.g.f.: e^(7*x)+e^(6*x)-e^x.
a(n) = 13*a(n-1)-42*a(n-2)-30 with a(0)=1, a(1)=12. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=12, a(2)=84, a(n) = 14*a(n-1)-55*a(n-2)+42*a(n-3). - Harvey P. Dale, May 08 2012

A155660 a(n) = 9^n - 7^n + 1.

Original entry on oeis.org

1, 3, 33, 387, 4161, 42243, 413793, 3959427, 37281921, 347066883, 3204309153, 29403732867, 268588249281, 2444976817923, 22198569382113, 201143570584707, 1819787258282241, 16444551185679363, 148466221699088673, 1339452822487618947, 12077873192759316801, 108860443267429075203
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659.

Programs

Formula

G.f.: 1/(1-9*x)-1/(1-7*x)+1/(1-x).
E.g.f.: exp(9*x)-exp(7*x)+exp(x).
a(n) = 16*a(n-1)-63*a(n-2)+48 with a(0) = 1, a(1) = 3. - Vincenzo Librandi, Jul 21 2010

A155661 a(n) = 10^n - 7^n + 1.

Original entry on oeis.org

1, 4, 52, 658, 7600, 83194, 882352, 9176458, 94235200, 959646394, 9717524752, 98022673258, 986158712800, 9903110989594, 99321776927152, 995252438490058, 9966767069430400, 99767369486012794, 998371586402089552
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660.

Programs

  • Mathematica
    Table[10^n-7^n+1,{n,0,20}] (* or *) LinearRecurrence[{18,-87,70},{1,4,52}, 21] (* Harvey P. Dale, May 05 2011 *)
  • PARI
    a(n)=10^n-7^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-10*x)-1/(1-7*x)+1/(1-x).
E.g.f.: e^(10*x)-e^(7*x)+e^x.
a(n) = 17*a(n-1)-70*a(n-2)+54 with a(0)=1, a(1)=4. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=4, a(2)=52, a(n)=18*a(n-1)-87*a(n-2)+70*a(n-3). - Harvey P. Dale, May 05 2011

A155662 a(n) = 11^n - 7^n + 1.

Original entry on oeis.org

1, 5, 73, 989, 12241, 144245, 1653913, 18663629, 208594081, 2317594085, 25654949353, 283334343869, 3124587089521, 34425823133525, 379071610510393, 4172500607905709, 45916496933002561, 505214397985306565, 5558288899894321033, 61147691553229173149
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

Links

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661.

Programs

Formula

G.f.: 1/(1-11*x) - 1/(1-7*x) + 1/(1-x).
E.g.f.: e^(11*x) - e^(7*x) + e^x.
a(n) = 18*a(n-1) - 77*a(n-2) + 60; a(0)=1, a(1)=5. - Vincenzo Librandi, Jul 21 2010
Previous Showing 11-17 of 17 results.

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