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A089575 Let f(k^n) = m where m is the largest power of k+1 < k^n. a(n) = number of iterations of f to reach 1, starting from n and starting from k = 2. 0
0, 1, 2, 2, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 8, 9, 9, 9, 9, 9, 10, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 15, 16, 16, 16, 16, 17, 17, 17, 18, 19, 19, 19 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

EXAMPLE

a(5)=4 as f(2^5)=3^3 < 2^5, f(3^3)=4^2 < 3^3, f(4^2)=5 < 4^2 and f(5)=6^0 < 5.

CROSSREFS

Sequence in context: A080594 A194175 A194241 * A194177 A023190 A047783

Adjacent sequences:  A089572 A089573 A089574 * A089576 A089577 A089578

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto (pcmusume(AT)m11.alpha-net.ne.jp), Dec 29 2003

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Last modified February 17 03:45 EST 2012. Contains 205978 sequences.