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Search: id:A026097
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A026097 a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4. Also a(n) = sum of numbers in row n+1 of the array T defined in A026082 and a(n) = 24*3^(n-4) for n >= 4. +0
2
1, 2, 4, 8, 24, 72, 216, 648, 1944, 5832, 17496, 52488, 157464, 472392, 1417176, 4251528, 12754584, 38263752, 114791256, 344373768, 1033121304, 3099363912, 9298091736, 27894275208, 83682825624, 251048476872, 753145430616, 2259436291848 (list; graph; listen)
OFFSET

0,2

COMMENT

Also length of successive strings generated by an alternating Kolakoski (2,4) rule starting at 4 (i.e. string begins with 2 if previous string ends with 4 and vice et versa) : 4-->2222-->44224422-->444422224422444422224422-->... and length of strings are 1,4,8,24,72,... - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 15 2005

CROSSREFS

Essentially the same as A005051.

Sequence in context: A116719 A114900 A115115 this_sequence A067646 A152875 A065654

Adjacent sequences: A026094 A026095 A026096 this_sequence A026098 A026099 A026100

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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