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 11-15 of 15 results.

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

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 11-15 of 15 results.

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