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A235249 Fixed point when A001175 (Pisano periods) is iterated with starting value n. 2

%I #30 Aug 11 2022 03:41:22

%S 1,24,24,24,120,24,24,24,24,120,120,24,24,24,120,24,24,24,24,120,24,

%T 120,24,24,600,24,24,24,24,120,120,24,120,24,120,24,24,24,24,120,120,

%U 24,120,120,120,24,24,24,24,600,24,24,24,24,120,24,24,24,24,120

%N Fixed point when A001175 (Pisano periods) is iterated with starting value n.

%C Are the powers of 5 (together with 2) the indices of records in this sequence? - _Charles R Greathouse IV_, Aug 11 2022

%H Reinhard Zumkeller, <a href="/A235249/b235249.txt">Table of n, a(n) for n = 1..10000</a>

%H J. D. Fulton and W. L. Morris, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa16/aa1621.pdf">On arithmetical functions related to the Fibonacci numbers</a>, Acta Arithmetica, 16 (1969), 105-110.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Pisano_period">Pisano period</a>

%F a(n) = 24*5^(A001179(n)-1) for n > 1.

%F A001175(a(n)) = a(n).

%o (Haskell)

%o a235249 n = if y == n then n else a235249 y where y = a001175 n

%Y Cf. A001175, A001179.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Jan 15 2014

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)