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!)
A067982 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+4), n>=0. 0
7, 32, 79, 176, 360, 706, 1341, 2492, 4553, 8210, 14648, 25908, 45491, 79384, 137795, 238084, 409704, 702518, 1200777, 2046580, 3479197, 5900902, 9987064, 16870056, 28446175, 47887376, 80493751, 135112472 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Fourth diagonal of triangle A067979. Fourth column of triangle A067990.
LINKS
FORMULA
a(n)= sum(L(k+1)*L(n+4-k), k=0..n) = (11*n+7)*F(n+1)+7*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).
G.f.: (7+4*x)*(1+2*x)/(1-x-x^2)^2.
CROSSREFS
Sequence in context: A060123 A013650 A013656 * A126562 A190096 A254407
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 15 2002
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 June 16 13:54 EDT 2024. Contains 373429 sequences. (Running on oeis4.)