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!)
A067977 Convolution of Fibonacci F(n+1), n>=0, with F(n+9), n>=0. 2
34, 89, 212, 445, 890, 1712, 3212, 5911, 10720, 19215, 34116, 60096, 105158, 182965, 316780, 546113, 937918, 1605424, 2739760, 4662995, 7916984, 13412019, 22675272, 38265600, 64465450, 108433937 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Ninth diagonal of A067330. Ninth column of A067418.
LINKS
FORMULA
a(n) = A067330(n+8, n) = A067418(n+8, 8) = Sum_{k=0..n} F(k+1)*F(n+9-k), n>=0.
G.f.: (34+21*x)/(1-x-x^2)^2.
a(n) = ((123*n+5*34)*F(n+1)+76*(n+1)*F(n))/5, F(n) := A000045(n) (Fibonacci); 34=F(9), 76=L(9), 123=L(10), L(n) := A000204(n) (Lucas).
MATHEMATICA
CoefficientList[Series[(34 + 21*x)/(1 - x - x^2)^2, {x, 0, 30}], x] (* Wesley Ivan Hurt, Feb 16 2017 *)
LinearRecurrence[{2, 1, -2, -1}, {34, 89, 212, 445}, 30] (* Harvey P. Dale, Dec 22 2022 *)
CROSSREFS
Sequence in context: A169834 A248201 A140602 * A183311 A282811 A185460
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 21 20:04 EDT 2024. Contains 373559 sequences. (Running on oeis4.)