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.

A155635 8^n+5^n-1.

Original entry on oeis.org

1, 12, 88, 636, 4720, 35892, 277768, 2175276, 17167840, 136170852, 1083507448, 8638762716, 68963617360, 550976517012, 4404150026728, 35214889666956, 281627564601280, 2252562753138372, 18018213206747608, 144134261562183996
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 30 2009

Keywords

Links

Crossrefs

Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634.

Programs

  • Mathematica
    Table[8^n+5^n-1,{n,0,40}] (* or *) LinearRecurrence[{14,-53,40},{1,12,88},40] (* Harvey P. Dale, Jan 17 2017 *)
  • PARI
    a(n)=8^n+5^n-1^n \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-8*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(8*x)+e^(5*x)-e^x.
a(n)=13*a(n-1)-40*a(n-2)-28 with a(0)=1, a(1)=12 - Vincenzo Librandi, Jul 21 2010

A155636 a(n) = 9^n + 5^n - 1.

Original entry on oeis.org

1, 13, 105, 853, 7185, 62173, 547065, 4861093, 43437345, 389373613, 3496550025, 31429887733, 282673677105, 2543086531453, 22882895970585, 205921649672773, 1853172776742465, 16677944639119693, 150098449994264745, 1350870791159320213, 12157760826488569425, 109419465968670562333
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 30 2009

Keywords

Links

Crossrefs

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635.

Programs

Formula

G.f.: 1/(1-9*x)+1/(1-5*x)-1/(1-x).
E.g.f.: exp(9*x)+exp(5*x)-exp(x).
a(n) = 14*a(n-1)-45*a(n-2)-32 with a(0) = 1, a(1) = 13. - Vincenzo Librandi, Jul 21 2010

A155637 a(n) = 10^n+5^n-1.

Original entry on oeis.org

1, 14, 124, 1124, 10624, 103124, 1015624, 10078124, 100390624, 1001953124, 10009765624, 100048828124, 1000244140624, 10001220703124, 100006103515624, 1000030517578124, 10000152587890624, 100000762939453124, 1000003814697265624, 10000019073486328124
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 30 2009

Keywords

Links

Crossrefs

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636.

Programs

Formula

G.f.: 1/(1-10*x)+1/(1-5*x)-1/(1-x).
E.g.f.: e^(10*x)+e^(5*x)-e^x.
a(n) = 15*a(n-1)-50*a(n-2)-36 with a(0)=1, a(1)=14. - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=14, a(2)=124, a(n) = 16*a(n-1)-65*a(n-2)+50*a(n-3). - Harvey P. Dale, Oct 17 2011

A155627 a(n) = 6^n - 4^n + 1.

Original entry on oeis.org

1, 3, 21, 153, 1041, 6753, 42561, 263553, 1614081, 9815553, 59417601, 358602753, 2160005121, 12993585153, 78095728641, 469111242753, 2816814940161, 16909479575553, 101491237191681, 609084862103553, 3655058928435201
Offset: 0

Views

Author

Mohammad K. Azarian, Jan 29 2009

Keywords

Links

Crossrefs

Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626.

Programs

Formula

O.g.f.: 1/(1 - 6*x) - 1/(1 - 4*x) + 1/(1 - x).
E.g.f.: exp(6*x) - exp(4*x) + exp(x).
a(n) = 10*a(n-1)-24*a(n-2)+15 with a(0)=1, a(1)=3 - Vincenzo Librandi, Jul 21 2010

A054401 5^n-4^n-1.

Original entry on oeis.org

0, 8, 60, 368, 2100, 11528, 61740, 325088, 1690980, 8717048, 44633820, 227363408, 1153594260, 5835080168, 29443836300, 148292923328, 745759583940, 3745977788888, 18798608421180, 94267920012848, 472439111692020, 2366593604971208
Offset: 1

Views

Author

N. J. A. Sloane, May 22 2000

Keywords

Links

Crossrefs

Cf. A155626

Programs

Formula

a(1)=0, a(2)=8, a(3)=60, a(n)=10*a(n-1)-29*a(n-2)+20*a(n-3). - Harvey P. Dale, Aug 27 2013
Previous Showing 11-15 of 15 results.

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

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