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%I #4 Nov 22 2019 16:13:34
%S 8,17,42,104,242,541,1212,2664,5731,12314
%N Number of finite sequences of positive integers whose sum minus runs-resistance is n.
%C A composition of n is a finite sequence of positive integers with sum n.
%C 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.
%H Claude Lenormand, <a href="/A318921/a318921.pdf">Deux transformations sur les mots</a>, Preprint, 5 pages, Nov 17 2003.
%e The a(1) = 8 and a(2) = 17 compositions whose sum minus runs-resistance is n:
%e (1) (2)
%e (1,1) (1,3)
%e (1,2) (3,1)
%e (2,1) (1,1,1)
%e (1,1,2) (1,1,3)
%e (2,1,1) (1,2,1)
%e (1,1,2,1) (1,2,2)
%e (1,2,1,1) (2,2,1)
%e (3,1,1)
%e (1,1,1,2)
%e (1,1,3,1)
%e (1,3,1,1)
%e (2,1,1,1)
%e (1,1,1,2,1)
%e (1,2,1,1,1)
%e (1,2,1,1,2)
%e (2,1,1,2,1)
%Y Column sums of A329750.
%Y Cf. A000740, A008965, A098504, A242882, A318928, A329744, A329745, A329746, A329747, A329767.
%K nonn,more
%O 1,1
%A _Gus Wiseman_, Nov 21 2019
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