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 17 results. Next

A155646 a(n) = 8^n + 6^n - 1.

Original entry on oeis.org

1, 13, 99, 727, 5391, 40543, 308799, 2377087, 18456831, 144295423, 1134207999, 8952731647, 70896259071, 562816507903, 4476410675199, 35654557073407, 284296086618111, 2268726473129983, 18115958466150399, 144724547815866367
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, A155645.

Programs

  • Mathematica
    Table[8^n+6^n-1,{n,0,20}] (* or *) LinearRecurrence[{15,-62,48},{1,13,99},20] (* Harvey P. Dale, Jul 17 2011 *)
  • PARI
    a(n)= 8^n+6^n-1 \\ Charles R Greathouse IV, Jul 31 2011

Formula

G.f.: 1/(1-8*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(8*x)+e^(6*x)-e^x.
a(n) = 14*a(n-1)-48*a(n-2)-35 with a(0)=1, a(1)=13. [Vincenzo Librandi, Jul 21 2010]
a(0)=1, a(1)=13, a(2)=99, a(n) = 15*a(n-1)-62*a(n-2)+48*a(n-3). [Harvey P. Dale, Jul 17 2011]

A155647 a(n) = 9^n+6^n-1^n.

Original entry on oeis.org

1, 14, 116, 944, 7856, 66824, 578096, 5062904, 44726336, 397498184, 3547250576, 31743856664, 284606318816, 2554926522344, 22955156619056, 206361317079224, 1855841298759296, 16694108359111304, 150196195253667536
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, A155645, A155646.

Programs

  • Mathematica
    Table[9^n+6^n-1,{n,0,30}] (* or *) LinearRecurrence[{16,-69,54},{1,14,116},30] (* Harvey P. Dale, Dec 04 2012 *)
  • PARI
    a(n)=9^n+6^n-1 \\ Charles R Greathouse IV, Sep 24 2015

Formula

G.f.: 1/(1-9*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(9*x)+e^(6*x)-e^x.
a(n) = 15*a(n-1)-54*a(n-2)-40 with a(0)=1, a(1)=14. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=14, a(2)=116, a(n) = 16*a(n-1)-69*a(n-2)+54*a(n-3). - Harvey P. Dale, Dec 04 2012

A155648 a(n) = 10^n + 6^n - 1.

Original entry on oeis.org

1, 15, 135, 1215, 11295, 107775, 1046655, 10279935, 101679615, 1010077695, 10060466175, 100362797055, 1002176782335, 10013060694015, 100078364164095, 1000470184984575, 10002821109907455, 100016926659444735
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, A155645, A155646, A155647.

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; a(0)=1, a(1)=15. - Vincenzo Librandi, Jul 21 2010
a(n) = 17*a(n-1) - 76*a(n-2) + 60*a(n-3); a(0)=1, a(1)=15, a(2)=135. - Harvey P. Dale, Mar 30 2014

A155649 a(n) = 11^n+6^n-1^n.

Original entry on oeis.org

1, 16, 156, 1546, 15936, 168826, 1818216, 19767106, 216038496, 2368025386, 25997890776, 285674467666, 3140605159056, 34535772837946, 379828197747336, 4177718354400226, 45952550973479616, 505463955158738506
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, A155645, A155646, A155647, A155648.

Programs

Formula

G.f.: 1/(1-11*x)+1/(1-6*x)-1/(1-x).
E.g.f.: e^(11*x)+e^(6*x)-e^x.
a(n) = 17*a(n-1)-66*a(n-2)-50 with a(0)=1, a(1)=16 - Vincenzo Librandi, Jul 21 2010

A155655 a(n) = 8^n + 7^n - 1^n.

Original entry on oeis.org

1, 14, 112, 854, 6496, 49574, 379792, 2920694, 22542016, 174571334, 1356217072, 10567261334, 82560763936, 646644824294, 5076269583952, 39931933598774, 314707907280256, 2484430327672454, 19642812107392432, 155514083261229014
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.

Programs

Formula

G.f.: 1/(1-8*x)+1/(1-7*x)-1/(1-x).
E.g.f.: e^(8*x)+e^(7*x)-e^x.
a(n) = 15*a(n-1)-56*a(n-2)-42 with a(0)=1, a(1)=14. - Vincenzo Librandi, Jul 21 2010

A155651 a(n) = 8^n-6^n+1^n.

Original entry on oeis.org

1, 3, 29, 297, 2801, 24993, 215489, 1817217, 15097601, 124140033, 1013275649, 8227137537, 66542694401, 536695119873, 4319682347009, 34714187104257, 278653866803201, 2234873154240513, 17912838552813569, 143505828335845377
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, A155645, A155646, A155647, A155648, A155649, A155650.

Programs

Formula

G.f.: 1/(1-8*x)-1/(1-6*x)+1/(1-x).
E.g.f.: e^(8*x)-e^(6*x)+e^x.
a(n)=14*a(n-1)-48*a(n-2)+35 with a(0)=1, a(1)=3. - Vincenzo Librandi, Jul 21 2010

A155656 a(n) = 9^n + 7^n - 1.

Original entry on oeis.org

1, 15, 129, 1071, 8961, 75855, 649089, 5606511, 48811521, 427774095, 3769259649, 33358386351, 296270823681, 2638754838735, 23555015527809, 210638693604591, 1886253119421441, 16909812213653775, 151723048894909569, 1362250612858365231, 12237457725354540801
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.

Programs

Formula

G.f.: 1/(1-9*x) + 1/(1-7*x) - 1/(1-x).
E.g.f.: e^(9*x) + e^(7*x) - e^x.
a(n) = 16*a(n-1)-63*a(n-2)-48 with a(0) = 1, a(1) = 15. - Vincenzo Librandi, Jul 21 2010

A155652 9^n-6^n+1.

Original entry on oeis.org

1, 4, 46, 514, 5266, 51274, 484786, 4503034, 41367106, 377342794, 3426318226, 31018262554, 280252754146, 2528805134314, 22798428290866, 205420947110074, 1850199078944386, 16660255040221834, 149993075340330706
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, A155645, A155646, A155647, A155648, A155649, A155650, A155651.

Programs

Formula

G.f.: 1/(1-9*x)-1/(1-6*x)+1/(1-x). E.g.f.: e^(9*x)-e^(6*x)+e^x.
a(n)=15*a(n-1)-54*a(n-2)+40 with a(0)=1, a(1)=4 - Vincenzo Librandi, Jul 21 2010

A155657 10^n+7^n-1.

Original entry on oeis.org

1, 16, 148, 1342, 12400, 116806, 1117648, 10823542, 105764800, 1040353606, 10282475248, 101977326742, 1013841287200, 10096889010406, 100678223072848, 1004747561509942, 10033232930569600, 100232630513987206
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.

Programs

  • Mathematica
    Table[10^n+7^n-1,{n,0,30}] (* or *) LinearRecurrence[{18,-87,70},{1,16,148},30] (* Harvey P. Dale, Aug 29 2024 *)
  • PARI
    a(n)=10^n+7^n-1^n \\ 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)=16 - Vincenzo Librandi, Jul 21 2010

A155658 a(n) = 11^n + 7^n - 1.

Original entry on oeis.org

1, 17, 169, 1673, 17041, 177857, 1889209, 20310713, 220123681, 2398301297, 26219899849, 287288997353, 3152269663921, 34619601154337, 380428056656089, 4181995730925593, 45982962794141761, 505679659013280977
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.

Programs

Formula

G.f.: 1/(1-11*x) + 1/(1-7*x) - 1/(1-x).
E.g.f.: exp(11*x) + exp(7*x) - exp(x).
a(n) = 18*a(n-1)-77*a(n-2)-60 with a(0)=1, a(1)=17. - Vincenzo Librandi, Jul 21 2010
Showing 1-10 of 17 results. Next

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

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