cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A253806 One half of the maximal values of the length of the period for Fibonacci numbers modulo p (A001175(p)) for primes p > 5, according to Wall's Theorems 6 and 7.

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%I A253806 #8 Jan 16 2015 15:46:24
%S A253806 8,5,14,18,9,24,14,15,38,20,44,48,54,29,30,68,35,74,39,84,44,98,50,
%T A253806 104,108,54,114,128,65,138,69,74,75,158,164,168,174
%N A253806 One half of the maximal values of the length of the period for Fibonacci numbers modulo p (A001175(p)) for primes p > 5, according to Wall's Theorems 6 and 7.
%H A253806 D. D. Wall, <a href="http://www.jstor.org/stable/2309169">Fibonacci series modulo m</a>, Amer. Math. Monthly, 67 (1960), 525-532.
%F A253806 a(n) = (prime(n+3) - 1)/2 if prime(n+3) == 1 or 9 (mod 10) and a(n) = (prime(n+3) + 1) if
%F A253806 prime(n+3) == 3 or 7 (mod 10), n >= 1.
%e A253806 a(1) = 8 = 7 + 1 because prime(4) = 7 == 7 (mod 10). The length of the period for 7 is 2*8 = 16 = A001175(7).
%e A253806 a(2) = 5 = (11 - 1)/2 because prime(4) = 11 = 1 (mod 10). The length of the period for 11 is 10 = A001175(11).
%Y A253806 Cf. A001175, A222413, A222414.
%K A253806 nonn,easy
%O A253806 1,1
%A A253806 _Wolfdieter Lang_, Jan 16 2015