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 A222417 Irregular triangle read by rows: row n gives list Q(n) of LCMs of "array-admissible" sets for n. 3
 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 12, 1, 2, 3, 4, 5, 6, 7, 10, 12, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 15, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 30, 40, 60, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 24, 28, 30, 40, 60 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS See Nussbaum and Verduyn Lunel (1999) and (2003) for precise definition of Q(n). There are in fact several different but equivalent definitions. For example, Q(n) is "intimately connected to the set of periods of periodic points of classes of nonlinear maps defined on the positive cone in R^n" [Nussbaum and Verduyn Lunel (2003)] REFERENCES Lemmens, Bas; Nussbaum, Roger. Nonlinear Perron-Frobenius theory. Cambridge Tracts in Mathematics, 189. Cambridge University Press, Cambridge, 2012. xii+323 pp. ISBN: 978-0-521-89881-2 MR2953648 Nussbaum, Roger D.; Scheutzow, Michael. Admissible arrays and a nonlinear generalization of Perron-Frobenius theory. J. London Math. Soc. (2) 58 (1998), no. 3, 526--544. MR1678149 (2000b:37013) Nussbaum, R. D.; Verduyn Lunel, S. M. Generalizations of the Perron-Frobenius theorem for nonlinear maps. Mem. Amer. Math. Soc.138 (1999), no. 659, viii+98 pp. MR1470912 (99i:58125). Gives the first 50 rows. LINKS N. J. A. Sloane, Table of n, a(n) for n = 1..343 [First 17 rows, flattened] Nussbaum, Roger D.; Verduyn Lunel, Sjoerd M., Asymptotic estimates for the periods of periodic points of non-expansive maps, Ergodic Theory Dynam. Systems 23 (2003), no. 4, 1199--1226. See the function Q(n). MR1997973 (2004m:37033). EXAMPLE Triangle begins [1] [1, 2] [1, 2, 3] [1, 2, 3, 4] [1, 2, 3, 4, 5, 6] [1, 2, 3, 4, 5, 6, 12] [1, 2, 3, 4, 5, 6, 7, 10, 12] [1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 15, 24] [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 24] ... CROSSREFS Cf. A222422 (maximal elements only), A222801 (number of terms |Q(n)|). Sequence in context: A256553 A194896 A212721 * A253573 A229945 A119585 Adjacent sequences: A222414 A222415 A222416 * A222418 A222419 A222420 KEYWORD nonn,tabf AUTHOR N. J. A. Sloane, Feb 28 2013 STATUS approved

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Last modified March 20 05:08 EDT 2023. Contains 361358 sequences. (Running on oeis4.)