login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

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 December 12 17:59 EST 2019. Contains 329960 sequences. (Running on oeis4.)