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A003271 Smallest number which requires n iterations of the unitary totient function (A047994) to reach 1.
(Formerly M0531)
4
1, 2, 3, 4, 5, 9, 16, 17, 41, 83, 113, 137, 257, 773, 977, 1657, 2048, 2313, 4001, 5725, 7129, 11117, 17279, 19897, 22409, 39283, 43657, 55457, 120677, 308941, 314521, 465089, 564353, 797931, 1110841, 1310443, 1924159, 2535041, 3637637, 6001937, 8319617, 9453569, 10969369 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

A049865(a(n)) = n and A049865(m) <> n for m < a(n). [Reinhard Zumkeller, Aug 17 2011]

REFERENCES

M. Lal, Iterates of the unitary totient function, Math. Comp., 28 (1974), 301-302.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

PROG

(Haskell)

import Data.List (elemIndex)

import Data.Maybe (fromJust)

a003271 n = a003271_list !! n

a003271_list = map ((+ 1) . fromJust . (`elemIndex` a049865_list)) [0..]

-- Reinhard Zumkeller, Aug 17 2011

CROSSREFS

Cf. A047994.

Sequence in context: A060732 A068584 A107799 * A049796 A106165 A088817

Adjacent sequences:  A003268 A003269 A003270 * A003272 A003273 A003274

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.