A227397 Related to Pisano periods: Numbers k such that the period of Fibonacci numbers mod k equals k+2.

4, 34, 46, 94, 106, 166, 226, 274, 334, 346, 394, 454, 514, 526, 586, 634, 694, 706, 766, 886, 934, 1006, 1126, 1174, 1186, 1234, 1294, 1306, 1354, 1366, 1486, 1546, 1654, 1714, 1726, 1774, 1894, 1954, 1966, 2026, 2326, 2374, 2386, 2434, 2566, 2614, 2734, 2746

Offset: 1

Author

Matthew Goers, Sep 20 2013

Keywords

• nonn

Comments

This sequence is a subsequence of A220168, where k divides the Fibonacci number F(k+2). There is no discernible pattern among the terms of A220168 terms that are not in this sequence.

All terms are 2 less than a multiple of 6, and all except the first term (4) are 2 less than a multiple of 12.

Examples

			The Pisano period (A001175) for dividing the Fibonacci numbers (A000045) by 4 is 6; 6 = 4 + 2, so 4 is a term.
The Pisano period for the Fibonacci numbers mod 34 is 36; 36 = 34 + 2, so 34 is a term.
		

Links

• Matthew Goers, Table of n, a(n) for n = 1..125

Crossrefs

Cf. A000045, A001175, A220168, A071776.