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 A335714 The sum of the sizes (positions) of fixed points over all compositions of n. 2
 1, 1, 4, 8, 19, 41, 89, 189, 398, 830, 1719, 3539, 7251, 14797, 30096, 61044, 123531, 249501, 503117, 1013165, 2037986, 4095546, 8223919, 16502823, 33097639, 66349021, 132954724, 266337584, 533388643, 1067965265, 2137907009, 4279099869, 8563658486, 17136379382 (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 FORMULA G.f.: x*(1-x)^3/((1-2*x)*(1-x-x^2)^2). EXAMPLE For n=3 the a(3)=4 values are the first 1 in the composition 111 and both values in the composition 12 (the compositions 21 and 3 have no fixed points). PROG (PARI) Vec((x*(1-x)^3)/((1-2*x)*(1-x-x^2)^2) + O(x^40)) \\ Michel Marcus, Jun 18 2020 CROSSREFS Cf. A099036, A335712, A335713. Sequence in context: A129362 A301981 A083579 * A215112 A265108 A328184 Adjacent sequences:  A335711 A335712 A335713 * A335715 A335716 A335717 KEYWORD nonn,easy AUTHOR Margaret Archibald, Jun 18 2020 EXTENSIONS More terms from Michel Marcus, Jun 18 2020 STATUS approved

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Last modified November 29 07:44 EST 2020. Contains 338756 sequences. (Running on oeis4.)