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!)
A086954 Binomial transform of A061800. 0
1, 1, 4, 14, 38, 92, 214, 490, 1108, 2474, 5462, 11948, 25942, 55978, 120148, 256682, 546134, 1157804, 2446678, 5155498, 10835284, 22719146, 47535446, 99265196, 206918998, 430615210, 894784852, 1856678570, 3847574870, 7963585196 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (5,-9,8,-4).

FORMULA

a(n)=0^n+n2^(n-1)+sum{k=0..floor((n-1)/3) C(n-1, 3k+2) }

O.g.f.: (1-x)(1-3x+5x^2)/[(1-x+x^2)(-1+2x)^2]. - R. J. Mathar, Apr 02 2008

CROSSREFS

Sequence in context: A316878 A036368 A006071 * A111583 A124615 A317606

Adjacent sequences:  A086951 A086952 A086953 * A086955 A086956 A086957

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 25 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)