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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.
Table of n, a(n) for n=1..88.
Robert Walker, Self Similar Sloth Canon Number Sequences
a(n) = A053829(n-1)+1.
(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
Cf. A000120, A053829, A063787, A173523 - A173529.
Sequence in context: A080465 A151950 A104418 * A245345 A043268 A238593
Adjacent sequences: A173525 A173526 A173527 * A173529 A173530 A173531
Omar E. Pol, Feb 20 2010
More terms from Vincenzo Librandi, Feb 21 2010
Definition and formula added by M. F. Hasler, Dec 06 2010