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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

Table of n, a(n) for n=1..88.

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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Last modified August 19 23:35 EDT 2017. Contains 290821 sequences.