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A035504 Numbers that eventually reach 1 under "x -> sum of cubes of digits of x". 9
1, 10, 100, 112, 121, 211, 778, 787, 877, 1000, 1012, 1021, 1102, 1120, 1189, 1198, 1201, 1210, 1234, 1243, 1324, 1342, 1423, 1432, 1579, 1597, 1759, 1795, 1819, 1891, 1918, 1957, 1975, 1981, 2011, 2101, 2110, 2134, 2143, 2314, 2341, 2413, 2431, 2779 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Subsequence of A016777; a(n) mod 3 = 1; A165330(a(n))=1. [Reinhard Zumkeller, Sep 17 2009]

REFERENCES

R. K. Guy, Unsolved Problems Number Theory, Sect. E34.

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..1000

R. Styer, Smallest Examples of Strings of Consecutive Happy Numbers, J. Int. Seq. 13 (2010), 10.6.3, Section 4.

MATHEMATICA

f[n_]:=Plus@@(IntegerDigits[n]^3); Trajectory[n_] := Most[NestWhileList[f, n, UnsameQ, All]]; Select[Range[2780], Last[Trajectory[#]]==1 &] (* Ant King, May 24 2013 *)

CROSSREFS

Cf. A007770.

Cf. A046197, A008585, A165333, A165334, A165335; subsequence of A031179.

Sequence in context: A276349 A167502 A135652 * A072366 A349316 A119082

Adjacent sequences: A035501 A035502 A035503 * A035505 A035506 A035507

KEYWORD

nonn,easy,base

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Mar 31 2000

STATUS

approved

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Last modified November 29 12:29 EST 2022. Contains 358427 sequences. (Running on oeis4.)