login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A137751 a(n) = number of missing residues in the Fibonacci sequence mod the n-th prime number. 3
0, 0, 0, 0, 4, 4, 4, 7, 4, 19, 12, 8, 22, 10, 32, 16, 22, 36, 16, 27, 16, 30, 20, 72, 28, 66, 24, 74, 60, 80, 30, 49, 28, 106, 88, 114, 44, 40, 40, 36, 67, 119, 72, 44, 48, 183, 181, 54, 56, 149, 212, 90, 138, 94, 64, 178, 156, 102 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Casey Mongoven, Absent Residues Primes no. 1; electro-acoustic music created with this sequence.

EXAMPLE

The 5th prime number is 11. The Fibonacci sequence mod 11 is {0,1,1,2,3,5,8,2,10,1,0,1,...} - a periodic sequence. There are 4 residues which do not occur in this sequence, namely {4,6,7,9}. So a(5) = 4.

CROSSREFS

Cf. A118965, A137750, A000045.

Sequence in context: A295641 A171815 A023958 * A244481 A211638 A211639

Adjacent sequences:  A137748 A137749 A137750 * A137752 A137753 A137754

KEYWORD

nonn

AUTHOR

Casey Mongoven, Feb 10 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 15 22:28 EST 2019. Contains 320138 sequences. (Running on oeis4.)