Search: id:A137751
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%I A137751
%S A137751 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,
%T A137751 74,60,80,30,49,28,106,88,114,44,40,40,36,67,119,72,44,48,183,181,54,56,
%U A137751 149,212,90,138,94,64,178,156,102
%N A137751 a(n) = number of missing residues in the Fibonacci sequence mod the n-th 
               prime number.
%H A137751 Casey Mongoven, <a href="http://caseymongoven.com/catalogue/b741.htm">
               Absent Residues Primes no. 1</a>; electro-acoustic music created 
               with this sequence.
%e A137751 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.
%Y A137751 Cf. A118965, A137750, A000045.
%Y A137751 Sequence in context: A097918 A141466 A023958 this_sequence A010658 A128939 
               A105352
%Y A137751 Adjacent sequences: A137748 A137749 A137750 this_sequence A137752 A137753 
               A137754
%K A137751 nonn
%O A137751 1,5
%A A137751 Casey Mongoven (cm(AT)caseymongoven.com), Feb 10 2008

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