A229467 Related to Pisano periods: numbers n such that there are n+10 distinct Fibonacci numbers mod n.

170, 230, 530, 830, 1370, 1670, 1730, 1970, 2270, 2570, 2930, 3170, 3830, 4430, 4670, 5030, 5870, 5930, 6170, 6470, 6530, 6830, 7430, 7730, 8270, 8570, 8630, 8870, 9470, 9770, 9830, 10130, 11630, 11870, 11930, 12170, 12830, 13070, 13670, 13730, 14330

Offset

1,1

Comments

These are a subset of the terms of A071774 multiplied by 10, where A071774 are numbers m such that Fibonacci numbers mod m = 2*(m+1). All A071774 terms multiplied by 10 have Pisano periods 3*(n+10) or (n+10). This sequence is the (n+10) subset.

Links

Matthew Goers, Table of n, a(n) for n = 1..60

Example

The Pisano period of the Fibonacci numbers mod 170 = 180, which is 170+10.
The Pisano period of the Fibonacci numbers mod 1670 = 1680, which is 1670+10.

Crossrefs

Cf. A000045, A001175, A071774, A229466.

Sequence in context: A296892 A045002 A163556 * A218071 A113789 A261550

Adjacent sequences: A229464 A229465 A229466 * A229468 A229469 A229470

Keyword

nonn

Author

Matthew Goers, Sep 24 2013

Extensions

Added 3 terms - Matthew Goers, Oct 14 2013

Status

approved