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A022345 Fibonacci sequence beginning 0, 11. 2
0, 11, 11, 22, 33, 55, 88, 143, 231, 374, 605, 979, 1584, 2563, 4147, 6710, 10857, 17567, 28424, 45991, 74415, 120406, 194821, 315227, 510048, 825275, 1335323, 2160598, 3495921, 5656519, 9152440, 14808959, 23961399, 38770358, 62731757, 101502115, 164233872 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

A. T. Benjamin and J. J. Quinn, Proofs that really count: the art of combinatorial proof, M.A.A. 2003, p. 15.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (1, 1).

FORMULA

a(n) = 11*F(n) = F(n+4) + F(n+2) + F(n) + F(n-2) + F(n-4) with n > 3 and F = A000045.

G.f.: 11*x/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = Fibonacci(n+5) - Fibonacci(n-5), where Fibonacci(-5..-1) = 5, -3, 2, -1, 1. - Bruno Berselli, May 22 2015

MATHEMATICA

Table[11 Fibonacci(n), {n, 0, 40}] (* Bruno Berselli, May 22 2015 *)

PROG

(MAGMA) [11*Fibonacci(n): n in [0..40]]; // Bruno Berselli, May 22 2015

(PARI) x='x+O('x^50); concat([0], Vec(11*x/(1-x-x^2))) \\ G. C. Greubel, Aug 25 2017

CROSSREFS

Cf. A000045.

Cf. similar sequences listed in A258160.

Sequence in context: A040111 A003887 A138844 * A246554 A218163 A152082

Adjacent sequences:  A022342 A022343 A022344 * A022346 A022347 A022348

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Bruno Berselli, May 22 2015

STATUS

approved

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Last modified October 18 10:28 EDT 2017. Contains 293507 sequences.