|
|
A022090
|
|
Fibonacci sequence beginning 0, 7.
|
|
4
|
|
|
0, 7, 7, 14, 21, 35, 56, 91, 147, 238, 385, 623, 1008, 1631, 2639, 4270, 6909, 11179, 18088, 29267, 47355, 76622, 123977, 200599, 324576, 525175, 849751, 1374926, 2224677, 3599603, 5824280, 9423883, 15248163, 24672046, 39920209, 64592255, 104512464
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
The number of heptagons in the n-th ring of the Klein Quartic. - Amiram Eldar, Nov 14 2023
|
|
REFERENCES
|
Arthur T. Benjamin and Jennifer J. Quinn, Proofs that really count: the art of combinatorial proof, M.A.A., 2003, p. 15.
|
|
LINKS
|
|
|
FORMULA
|
a(n) = round( ((14*phi-7)/5) * phi^n) (works for n>3). - Thomas Baruchel, Sep 08 2004
a(n) = 7*F(n) = F(n+4) + F(n-4) for n>3.
|
|
MATHEMATICA
|
a={}; b=0; c=7; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 1, 40, 1}]; a (* Vladimir Joseph Stephan Orlovsky, Jul 23 2008 *)
|
|
CROSSREFS
|
Cf. sequences with formula Fibonacci(n+k)+Fibonacci(n-k) listed in A280154.
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|