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A251412 Trajectory of 11 under the map n -> A098550(n). 4
11, 25, 26, 45, 95, 78, 105, 203, 196, 267, 455, 424, 392, 555, 498, 440, 406, 376, 340, 785, 1025, 944, 880, 1119, 1036, 1363, 1715, 2097, 2369, 1097, 1385, 641, 801, 730, 672, 867, 1077, 1341, 1238, 1713, 2091, 971, 1169, 541, 251, 339, 312, 288, 264, 242, 305, 413, 481, 1115, 1030, 1247 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

It is believed that n -> A098550(n) is a permutation of the natural numbers. 1,2,3,4 are fixed points (cf. A251411), and there are cycles (5,9), (6,8,14,16,10), and (7,15). 11 is the smallest number whose trajectory is not presently known (and is probably infinite).

Hans Havermann has found that 1470 is in a cycle of length 30, and 1772 is in a cycle of length 84.

REFERENCES

Hans Havermann, Posting to Sequence Fans Mailing List, Dec 02 2014

LINKS

Reinhard Zumkeller and Hans Havermann (Reinhard Zumkeller to 119), Table of n, a(n) for n = 0..700

David L. Applegate, Hans Havermann, Bob Selcoe, Vladimir Shevelev, N. J. A. Sloane, and Reinhard Zumkeller, The Yellowstone Permutation, arXiv preprint arXiv:1501.01669, 2015.

Hans Havermann, Loops and unresolved chains for map n -> A098550(n) trajectories

Hans Havermann, A portion of the trajectory containing 11

PROG

(Haskell)

a251412 n = a251412_list !! (n-1)

a251412_list = iterate a098550 11  -- Reinhard Zumkeller, Dec 07 2014

CROSSREFS

Cf. A098550, A251411.

Sequence in context: A114167 A108302 A182689 * A286279 A084547 A125868

Adjacent sequences:  A251409 A251410 A251411 * A251413 A251414 A251415

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 02 2014

STATUS

approved

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Last modified July 22 22:25 EDT 2017. Contains 289676 sequences.