login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A014897 a(1)=1, a(n) = 14*a(n-1) + n. 3
1, 16, 227, 3182, 44553, 623748, 8732479, 122254714, 1711566005, 23961924080, 335466937131, 4696537119846, 65751519677857, 920521275490012, 12887297856860183, 180422169996042578, 2525910379944596109, 35362745319224345544, 495078434469140837635 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (16, -29, 14).

FORMULA

a(n) = -14/169 + (14/169)*14^n - (1/13)*n, with n >= 1. - Paolo P. Lava, Jan 14 2009

a(1)=1, a(2)=16, a(3)=227, a(n) = 16*a(n-1) - 29*a(n-2) + 14*a(n-3). - Vincenzo Librandi, Oct 20 2012

MATHEMATICA

LinearRecurrence[{16, -29, 14}, {1, 16, 227}, 20] (* Vincenzo Librandi, Oct 20 2012 *)

PROG

(MAGMA) I:=[1, 16, 227]; [n le 3 select I[n] else 16*Self(n-1) - 29*Self(n-2) + 14*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Oct 20 2012

CROSSREFS

Sequence in context: A051822 A017438 A098301 * A048445 A028340 A166903

Adjacent sequences:  A014894 A014895 A014896 * A014898 A014899 A014900

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Olivier Gérard

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 March 29 17:23 EDT 2020. Contains 333116 sequences. (Running on oeis4.)