Search: id:A032986
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%I A032986
%S A032986 1,2,3,4,5,6,7,8,13,14,15,16,17,23,24,25,26,27,33,34,35,36,37,
%T A032986 43,44,45,46,47,53,54,55,56,57,63,64,65,66,67,72,73,74,75,76,
%U A032986 77,117,118,124,125,126,127,128,134,135,136,137,138,144,145,146
%N A032986 Numbers n with property that all pairs of consecutive base 9 digits differ 
               by more than 2.
%C A032986 Comments from Huen Yeong Kong (cosmology(AT)pacific.net.sg), Sep 19 2008 
               (Start): Consider the sequence with the first eight terms deleted: 
               13, 14, 15, 16, 17, 23, 24, 25, 26, 27, 33, 34, 35, 36, 37, 43, 44, 
               45, 46, 47, 53, 54, 55, ...
%C A032986 This sequence extends to infinity starting from the first quintuplet 
               cluster of 13,14,15,16,17 with higher clusters separated by multiples 
               of 10 intervals. This sequence extended to infinity is completely 
               devoid of twin primes.
%C A032986 Example: For n = 10, the sequence generated is: [[13, 14, 15, 16, 17], 
               [23, 24, 25, 26, 27], [33, 34, 35, 36, 37], [43, 44, 45, 46, 47], 
               [53, 54, 55, 56, 57], [63, 64, 65, 66, 67], [73, 74, 75, 76, 77], 
               [83, 84, 85, 86, 87], [93, 94, 95, 96, 97]]
%C A032986 Using Macsyma Symbolic Software we can write: makelist( [6+i*10-10-3,
               6+i*10-10-2,6+i*10-10-1, 6+i*10-10, 6+i*10-10+1], i,2,n); (End)
%Y A032986 Sequence in context: A033087 A084589 A165306 this_sequence A032977 A133245 
               A033080
%Y A032986 Adjacent sequences: A032983 A032984 A032985 this_sequence A032987 A032988 
               A032989
%K A032986 nonn,base
%O A032986 1,2
%A A032986 Clark Kimberling (ck6(AT)evansville.edu)

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