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A033010 Every run of digits of n in base 12 has length 2. 4
13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 1872, 1898, 1911, 1924, 1937, 1950, 1963, 1976, 1989, 2002, 2015, 3744, 3757, 3783, 3796, 3809, 3822, 3835, 3848, 3861, 3874, 3887, 5616, 5629, 5642, 5668, 5681, 5694, 5707 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A043291 and A033001 through A033014 for the analog in other bases, A033015 - A033029 for the variants with run lengths >= 2. - M. F. Hasler, Feb 02 2014

Numbers without repeating adjacent digits for which all digits are divisible by 13, in base 144. Consequently there are 11^n n-digit members of this sequence (base 144) and so (11^(n+1)-1)/10 members of this sequence below 144^n. - Charles R Greathouse IV, Feb 02 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1400

FORMULA

a(n) = 13*A043316(n) (= 13*n for n<12). - M. F. Hasler, Feb 02 2014

MATHEMATICA

Select[Range[10000], Union[Length/@Split[IntegerDigits[#, 12]]]=={2}&] (* Vincenzo Librandi, Feb 05 2014 *)

CROSSREFS

Sequence in context: A080196 A033025 A044838 * A019551 A098961 A033897

Adjacent sequences:  A033007 A033008 A033009 * A033011 A033012 A033013

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified July 27 04:25 EDT 2017. Contains 289841 sequences.