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 A173528 a(n) = 1 + sum of digits of n-1 written in base 8. 4
 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 9, 3, 4, 5, 6, 7, 8, 9, 10, 4, 5, 6, 7, 8, 9, 10, 11, 5, 6, 7, 8, 9, 10, 11, 12, 6, 7, 8, 9, 10, 11, 12, 13, 7, 8, 9, 10, 11, 12, 13, 14, 8, 9, 10, 11, 12, 13, 14, 15, 2, 3, 4, 5, 6, 7, 8, 9, 3, 4, 5, 6, 7, 8, 9, 10, 4, 5, 6, 7, 8, 9, 10, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS If A053829 is written as a triangle then the rows converge to this sequence; see the conjecture in A000120. The sequence is the base b=8 case in a family of 8 sequences for base b=2 (A063787) and bases 3 to 9 (A173523 to A173529). Common aspects (recurrences etc.) of these are documented in A173525. LINKS Robert Walker, Self Similar Sloth Canon Number Sequences FORMULA a(n) = A053829(n-1)+1. PROG (MAGMA) a053829:=func< n | &+Intseq(n, 8) >; a173528:=func< n | a053829(n-1)+1 >; [ a173528(n): n in [1..90] ]; // Klaus Brockhaus, Dec 07 2010 (Sage) A173528 = lambda n: 1+sum((n-1).digits(base=8)) # D. S. McNeil, Dec 07 2010 CROSSREFS Cf. A000120, A053829, A063787, A173523 - A173529. Sequence in context: A080465 A151950 A104418 * A245345 A043268 A238593 Adjacent sequences:  A173525 A173526 A173527 * A173529 A173530 A173531 KEYWORD nonn,base AUTHOR Omar E. Pol, Feb 20 2010 EXTENSIONS More terms from Vincenzo Librandi, Feb 21 2010 Definition and formula added by M. F. Hasler, Dec 06 2010 STATUS approved

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