login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A178676 a(n) = 5^n + 5. 5
6, 10, 30, 130, 630, 3130, 15630, 78130, 390630, 1953130, 9765630, 48828130, 244140630, 1220703130, 6103515630, 30517578130, 152587890630, 762939453130, 3814697265630, 19073486328130, 95367431640630, 476837158203130, 2384185791015630, 11920928955078130 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-5).

FORMULA

a(n) = 5*(a(n-1) - 4), with n>0, a(0)=6.

G.f.: ( 6-26*x ) / ( (1-5*x)*(1-x) ). - R. J. Mathar, Jan 05 2011

a(n) = 6*a(n-1) -5*a(n-2). - Vincenzo Librandi, Sep 30 2013

E.g.f.: exp(5*x) + 5*exp(x). - G. C. Greubel, Jan 27 2019

EXAMPLE

G.f. = 6 + 10*x + 30*x^2 + 130*x^3 + 630*x^4 + 3130*x^5 + 15630*x^6 + ... - Michael Somos, Jan 28 2019

MATHEMATICA

Table[5^n + 5, {n, 0, 40}] (* Vincenzo Librandi, Sep 30 2013 *)

PROG

(MAGMA) [5^n+5: n in [0..35]];

(PARI) a(n)=5^n+5 \\ Charles R Greathouse IV, Oct 07 2015

(Sage) [5^n+5 for n in range(40)] # G. C. Greubel, Jan 27 2019

(GAP) List([0..30], n -> 5^n +5); # G. C. Greubel, Jan 27 2019

CROSSREFS

Cf. A000351, A178671.

Sequence in context: A256865 A163478 A130440 * A266957 A137272 A121801

Adjacent sequences:  A178673 A178674 A178675 * A178677 A178678 A178679

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Dec 25 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 19 16:02 EST 2019. Contains 320311 sequences. (Running on oeis4.)