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 A335713 The sum of the sizes of the largest fixed points over all compositions of n. 3
 1, 1, 3, 7, 16, 34, 73, 155, 324, 674, 1393, 2861, 5852, 11929, 24239, 49127, 99360, 200598, 404377, 814135, 1637363, 3290067, 6605980, 13255451, 26583994, 53290694, 106787166, 213919062, 428415074, 857794856, 1717201360, 3437092882, 6878672565, 13764822699 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES M. Archibald, A. Blecher and A. Knopfmacher, Fixed points in compositions and words, accepted by the Journal of Integer Sequences. LINKS Alois P. Heinz, Table of n, a(n) for n = 1..500 M. Archibald, A. Blecher, and A. Knopfmacher, Fixed Points in Compositions and Words, J. Int. Seq., Vol. 23 (2020), Article 20.11.1. FORMULA G.f.: Sum_{j>=1} (x/(1-x))^(j-1) j x^j Sum_{k>=j} Product_{i=j+1..k} (x/(1-x) - x^i). EXAMPLE For n=3 the a(3)=3 values are the first 1 in the composition 111 and the 2 in the composition 12 (the compositions 21 and 3 do not have any fixed points). CROSSREFS Cf. A099036, A335712, A335714. Sequence in context: A178455 A281811 A238089 * A026734 A026767 A240740 Adjacent sequences:  A335710 A335711 A335712 * A335714 A335715 A335716 KEYWORD nonn AUTHOR Margaret Archibald, Jun 18 2020 EXTENSIONS a(21)-a(34) from Alois P. Heinz, Jun 18 2020 STATUS approved

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Last modified September 20 08:10 EDT 2021. Contains 347577 sequences. (Running on oeis4.)