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A105955 Fibonacci sequence (mod 11). 1
0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0, 1, 1, 2, 3, 5, 8, 2, 10, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

a(n)=(1/1900)*{-62*(n mod 20)+128*[(n+1) mod 20]+888*[(n+2) mod 20]-727*[(n+3) mod 20]+603*[(n+4) mod 20]-252*[(n+5) mod 20]-157*[(n+6) mod 20]-62*[(n+7) mod 20]-62*[(n+8) mod 20]+33*[(n+9) mod 20]-62*[(n+10) mod 20]+128*[(n+11) mod 20]+888*[(n+12) mod 20]-727*[(n+13) mod 20]+603*[(n+14) mod 20]-252*[(n+15) mod 20]-157*[(n+16) mod 20]-62*[(n+17) mod 20]-62*[(n+18) mod 20]+33*[(n+19) mod 20]} with n>=0. - Paolo P. Lava, Dec 01 2006

EXAMPLE

Sequence is periodic with Pisano period 10. [Corrected by U. Takasi, Dec 27 2009]

MATHEMATICA

Mod[Fibonacci[Range[0, 100]], 11] (* Harvey P. Dale, Jul 27 2012 *)

PROG

(MAGMA) [Fibonacci(n) mod 11: n in [0..100]]; // Vincenzo Librandi, Feb 04 2014

CROSSREFS

Sequence in context: A111301 A247193 A096320 * A003893 A152303 A064737

Adjacent sequences:  A105952 A105953 A105954 * A105956 A105957 A105958

KEYWORD

nonn,easy

AUTHOR

Shyam Sunder Gupta, May 05 2005

EXTENSIONS

Added a(0)=0 from Vincenzo Librandi, Feb 04 2014

STATUS

approved

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Last modified September 26 01:25 EDT 2017. Contains 292500 sequences.