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 A224341 Apparently solves the identity: Find sequence A that represents the numbers of ordered compositions of n into the elements of the set {B}; and vice versa. 2
 1, 2, 4, 7, 13, 25, 46, 86, 161, 301, 562, 1051, 1964, 3670, 6859, 12819, 23956, 44772, 83673 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Represents the numbers of ordered compositions of n using the terms of A224342: (1, 2, 3, 6, 10, 18, 32,...); such that the latter represents the numbers of ordered compositions of n using the terms of A224341. It appears that given any sequence of real terms pulled out of a hat S(n); repeated iterates of S(n) -> characteristic function of S(n) -> INVERT transform of the latter -> next sequence, (repeat); will converge upon two alternating sequences A224341 and A224342 as a fixed limit, as to absolute values. LINKS FORMULA The sequences are obtained by taking iterates as described in the comments. There is no known generating function at the date of this submission. EXAMPLE Given the sequence (1, 0, 0, 0,...), a few iterates using the rules rapidly converge upon A224341 and A224342. CROSSREFS Cf. A224342, A079958. Sequence in context: A034440 A000074 A079958 * A235684 A018082 A018083 Adjacent sequences:  A224338 A224339 A224340 * A224342 A224343 A224344 KEYWORD nonn AUTHOR Gary W. Adamson, Apr 03 2013 STATUS approved

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Last modified July 26 20:17 EDT 2021. Contains 346294 sequences. (Running on oeis4.)