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!)
A067431 Convolution of Fibonacci F(n+1), n>=0, with F(n+8), n>=0. 0

%I #4 Mar 31 2012 13:20:07

%S 21,55,131,275,550,1058,1985,3653,6625,11875,21084,37140,64989,113075,

%T 195775,337507,579650,992182,1693225,2881825,4892861,8288915,14013816,

%U 23649000,39841125,67014703,112558715

%N Convolution of Fibonacci F(n+1), n>=0, with F(n+8), n>=0.

%C Eighth diagonal of A067330. Eighth column of A067418.

%F a(n)= A067330(n+7, n) = A067418(n+7, 7) = sum(F(k+1)*F(n+8-k), k=0..n), n>=0.

%F G.f.: (21+13*x)/(1-x-x^2)^2.

%F a(n)= ((76*n+5*21)*F(n+1)+47*(n+1)*F(n))/5, F(n) := A000045(n) (Fibonacci); 21=F(8), 76=L(9), 47=L(8), L(n) := A000204(n) (Lucas).

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Feb 15 2002

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 March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)