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A032986 Numbers with the property that all pairs of consecutive base-9 digits differ by more than 2. 0
1, 2, 3, 4, 5, 6, 7, 8, 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, 72, 73, 74, 75, 76, 77, 117, 118, 124, 125, 126, 127, 128, 134, 135, 136, 137, 138, 144, 145, 146 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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, ...

This sequence extends to infinity starting from the first 5-tuple 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.

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]]

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)

LINKS

Table of n, a(n) for n=1..59.

CROSSREFS

Cf. A007095.

Sequence in context: A165306 A254116 A254115 * A032977 A133245 A200374

Adjacent sequences:  A032983 A032984 A032985 * A032987 A032988 A032989

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified July 4 22:49 EDT 2022. Contains 355086 sequences. (Running on oeis4.)