The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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. Cf. A000740, A008965, A098504, A242882, A318928, A329744, A329745, A329746, A329747, A329767. Sequence in context: A041849 A041124 A048695 * A153873 A111325 A173056 Adjacent sequences:  A329765 A329766 A329767 * A329769 A329770 A329771 KEYWORD nonn,more AUTHOR Gus Wiseman, Nov 21 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)