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A329768 Number of finite sequences of positive integers whose sum minus runs-resistance is n. 1
8, 17, 42, 104, 242, 541, 1212, 2664, 5731, 12314 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
A composition of n is a finite sequence of positive integers with sum n.
For the operation of taking the sequence of run-lengths of a finite sequence, runs-resistance is defined as the number of applications required to reach a singleton.
LINKS
Claude Lenormand, Deux transformations sur les mots, Preprint, 5 pages, Nov 17 2003.
EXAMPLE
The a(1) = 8 and a(2) = 17 compositions whose sum minus runs-resistance is n:
(1) (2)
(1,1) (1,3)
(1,2) (3,1)
(2,1) (1,1,1)
(1,1,2) (1,1,3)
(2,1,1) (1,2,1)
(1,1,2,1) (1,2,2)
(1,2,1,1) (2,2,1)
(3,1,1)
(1,1,1,2)
(1,1,3,1)
(1,3,1,1)
(2,1,1,1)
(1,1,1,2,1)
(1,2,1,1,1)
(1,2,1,1,2)
(2,1,1,2,1)
CROSSREFS
Column sums of A329750.
Sequence in context: A041849 A041124 A048695 * A153873 A111325 A173056
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Nov 21 2019
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)