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!)
A094039 Binomial transform of (Jacobsthal(n) + 2^n*Jacobsthal(-n))/2. 2
0, 1, 2, 6, 16, 46, 132, 386, 1136, 3366, 10012, 29866, 89256, 267086, 799892, 2396946, 7185376, 21545206, 64613772, 193797626, 581305496, 1743741726, 5230875652, 15691927906, 47074385616, 141220360646, 423655489532 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform of Jacobsthal(n)(1-(-1)^n)/2.

Starting with "1" = A001045 convolved with A025192: i.e (1, 2, 6, 16, 46,...) = (1, 1, 3, 5, 11,...) * (1, 2, 6, 18, 54,...). - Gary W. Adamson, May 10 2013

LINKS

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (4,-1,-6).

FORMULA

G.f.: x(1-2x-x^2)/((1+x)(1-2x)(1-3x))

a(n) = 3^n/6 - (-1)^n/6 + 2^n/6 - 0^n/6.

CROSSREFS

Cf. A001045, A094038, A051450.

Cf. A025192.

Sequence in context: A098617 A291036 A092687 * A165431 A182267 A003291

Adjacent sequences:  A094036 A094037 A094038 * A094040 A094041 A094042

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 23 2004

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 October 15 21:38 EDT 2021. Contains 348034 sequences. (Running on oeis4.)