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A306964
Trajectory of 2 under repeated application of x -> A306958(x).
2
2, 90, 3628801, 3780821, 4234421, 16030, 151932, 3659870, 6230161, 303231, 2261, 151390, 3659781, 6230170, 756822, 2600820, 1965783, 6230170, 756822, 2600820, 1965783, 6230170, 756822, 2600820, 1965783, 6230170, 756822, 2600820, 1965783
OFFSET
1,1
COMMENTS
The trajectory converges to the cycle of length 4 given in A306959. See A306958 for further information.
REFERENCES
P. Kiss, A generalization of a problem in number theory, Math. Sem. Notes Kobe Univ., 5 (1977), no. 3, 313-317. MR 0472667 (57 #12362).
LINKS
P. Kiss, A generalization of a problem in number theory, [Hungarian], Mat. Lapok, 25 (No. 1-2, 1974), 145-149.
H. J. J. te Riele, Iteration of number-theoretic functions, Nieuw Archief v. Wiskunde, (4) 1 (1983), 345-360. See Example I.1.d.
MATHEMATICA
a[n_]:=Total[Binomial[10, #]*#!&/@IntegerDigits[n]]; NestWhileList[a, 2, UnsameQ, All] (* Ray Chandler, Nov 30 2023 *)
CROSSREFS
Sequence in context: A058527 A342329 A306760 * A138583 A193747 A242176
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Mar 18 2019
STATUS
approved