A173528 - OEIS

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A173528

a(n) = 1 + sum of digits of n-1 written in base 8.

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

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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: A347689 A151950 A104418 * A245345 A043268 A346973

Adjacent sequences: A173525 A173526 A173527 * A173529 A173530 A173531