OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..680
Index entries for linear recurrences with constant coefficients, signature (22,252,-1365,-728,2912,-819,-294,20,1).
FORMULA
a(n) = (1/79750)*( 88*F(7n+1) +198*F(7n+2) -(-1)^n*(1218*F(5n+1) + 812*F(5n+2)) +6699*F(3n+2) -(-1)^n*(44660*F(n+1) -22330*F(n+2)) + 17375) where F(n)=A000045(n).
a(n) = 22 a(n-1) +252 a(n-2) -1365 a(n-3) -728 a(n-4) +2912 a(n-5) -819 a(n-6) -294 a(n-7) +20 a(n-8) +1 a(n-9).
G.f.: x*(x^6+20*x^5-166*x^4-318*x^3+166*x^2+20*x-1)/((x-1)*(x^2-11*x-1)*(x^2-x-1)*(x^2+4*x-1)*(x^2+29*x-1)). - R. J. Mathar, Feb 26 2012
MATHEMATICA
Accumulate[Fibonacci[Range[0, 20]]^7] (* Harvey P. Dale, Jul 16 2017 *)
PROG
(PARI) a(n)=sum(i=0, n, fibonacci(i)^7)
(Magma) [(&+[Fibonacci(k)^7:k in [0..n]]): n in [0..30]]; // G. C. Greubel, Jan 17 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Sep 12 2004
EXTENSIONS
Typo in data corrected by D. S. McNeil, Aug 17 2010
STATUS
approved