login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A135246 Shifted Pell recurrence: a(n) = 2*a(n-2) + a(n-4). 1
1, 3, 5, 7, 11, 17, 27, 41, 65, 99, 157, 239, 379, 577, 915, 1393, 2209, 3363, 5333, 8119, 12875, 19601, 31083, 47321, 75041, 114243, 181165, 275807, 437371, 665857, 1055907, 1607521, 2549185, 3880899, 6154277, 9369319, 14857739, 22619537, 35869755, 54608393, 86597249, 131836323, 209064253, 318281039, 504725755, 768398401, 1218515763, 1855077841, 2941757281, 4478554083 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Mix A048655(n) and A001333(n+2).
LINKS
FORMULA
G.f.: (1 + 3*x + 3*x^2 + x^3)/(1 - 2*x^2 - x^4). - G. C. Greubel, Oct 04 2016
a(n) = 2*a(n-2) + a(n-4). - Wesley Ivan Hurt, Dec 30 2023
MATHEMATICA
LinearRecurrence[{0, 2, 0, 1}, {1, 3, 5, 7}, 25] (* G. C. Greubel, Oct 04 2016 *)
PROG
(PARI) Vec((1 + 3*x + 3*x^2 + x^3)/(1 - 2*x^2 - x^4) + O(x^50)) \\ Michel Marcus, Oct 05 2016
CROSSREFS
Sequence in context: A266164 A152999 A024967 * A109543 A229168 A248714
KEYWORD
nonn,easy
AUTHOR
Paul Curtz, Feb 15 2008
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 07:33 EDT 2024. Contains 371235 sequences. (Running on oeis4.)