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 A072768 The RASTxx transformation of the sequence A072643. The sizes of the parenthesizations produced by 'cons' combination A072764 & its transpose A072766. 6
 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 4, 4, 5, 6, 5, 6, 5, 4, 4, 5, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 7, 6, 6, 5, 4, 5, 5, 6, 6, 7, 7, 6, 6, 5, 5, 5, 6, 6, 6, 7, 7, 7, 6, 6, 6, 5, 5, 6, 7, 6, 7, 7, 7, 7, 6, 7, 6, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 5, 6, 7, 7, 8, 7, 7, 7, 7, 8, 7, 7, 6, 5 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Differs from A071673 first time at the position n=37, where A072768(37) = 4, while A071673(37) = 5. RASTxx(A072768) differs from A071673 first time at the position n=704, which leads to conjecture that the repeated applications of RASTxx starting from A072643 converge towards A071673, the fixed point of RASTxx transformation. Each value v occurs A000108(v) times. (The term a(0)=0 is not explicitly listed here as to get a better looking triangle). LINKS A. Karttunen, Gatomorphisms (Includes the complete Scheme source for computing this sequence) N. J. A. Sloane, Transforms (Maple code for RASTxx transform) PROG (Scheme) (define (A072768 n) (cond ((zero? n) n) (else (+ 1 (A072643 (A025581 (-1+ n))) (A072643 (A002262 (-1+ n))))))) CROSSREFS Same triangle computed modulo 2: A072770. Permutations: A072643, A071673, A072644, A072645, A072660, A072789. Cf. also A072769, A025581, A002262. Sequence in context: A285717 A115777 A316847 * A071673 A174199 A072660 Adjacent sequences:  A072765 A072766 A072767 * A072769 A072770 A072771 KEYWORD nonn,tabl AUTHOR Antti Karttunen, Jun 12 2002 STATUS approved

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Last modified October 16 05:38 EDT 2019. Contains 328044 sequences. (Running on oeis4.)