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!)
A153382 a(n)=a(n-1)+2a(n-2)-a(n-3)-a(n-4), a(0)=0,a(1)=8,a(2)=10,a(3)=18. 2
0, 8, 10, 18, 30, 48, 80, 128, 210, 338, 550, 888, 1440, 2328, 3770, 6098, 9870, 15968, 25840, 41808, 67650, 109458, 177110, 286568, 463680, 750248, 1213930, 1964178, 3178110, 5142288, 8320400, 13462688, 21783090, 35245778, 57028870, 92274648 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..35.

Index entries for linear recurrences with constant coefficients, signature (1,2,-1,-1)

FORMULA

G.f.: 2x(4+x-4x^2)/((1-x)(1+x)(1-x-x^2)). a(n)= -2*A000035(n)+10*A000045(n). [From R. J. Mathar, Jan 03 2009]

a(n)=-1+(-1)^n+2*sqrt(5)*{[(1/2)+(1/2)*sqrt(5)]^n-[(1/2)-(1/2)*sqrt(5)]^n}, with n>=0 [From Paolo P. Lava, Jan 09 2009]

CROSSREFS

Sequence in context: A015732 A179474 A079347 * A157911 A090097 A236653

Adjacent sequences:  A153379 A153380 A153381 * A153383 A153384 A153385

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Dec 25 2008

EXTENSIONS

Extended by R. J. Mathar, Jan 03 2009

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 April 16 04:25 EDT 2021. Contains 343030 sequences. (Running on oeis4.)