The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A083333 a(n) = 10*a(n-2) - 16*a(n-4) for n>=4, with a(0)=a(1)=1, a(2)=6, a(3)=10. 1
1, 1, 6, 10, 44, 84, 344, 680, 2736, 5456, 21856, 43680, 174784, 349504, 1398144, 2796160, 11184896, 22369536, 89478656, 178956800, 715828224, 1431655424, 5726623744, 11453245440, 45812985856, 91625967616, 366503878656 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
A083332(n)/a(n) converges to 3.
LINKS
FORMULA
G.f.: (1+x-4*x^2)/(1-10*x^2+16*x^4).
a(n) = A016116(n)*A001045(n+1). - R. J. Mathar, Jul 08 2009
MATHEMATICA
CoefficientList[Series[(1+x-4x^2)/(1-10x^2+16x^4), {x, 0, 30}], x]
CROSSREFS
Cf. A016131, A082412 (bisections). - R. J. Mathar, Jul 13 2009
Sequence in context: A332441 A153328 A068588 * A032359 A346501 A115917
KEYWORD
easy,nonn
AUTHOR
Mario Catalani (mario.catalani(AT)unito.it), Apr 24 2003
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 May 23 16:36 EDT 2024. Contains 372765 sequences. (Running on oeis4.)