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A165335 Numbers that eventually reach the fixed point 407 under "x -> sum of cubes of digits of x" (see A055012). 6
47, 74, 77, 89, 98, 407, 449, 470, 494, 578, 587, 668, 686, 704, 707, 740, 758, 770, 785, 788, 809, 857, 866, 875, 878, 887, 890, 908, 944, 980, 1124, 1139, 1142, 1148, 1157, 1175, 1178, 1184, 1187, 1193, 1214, 1241, 1319, 1367, 1376, 1391, 1412, 1418, 1421 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A165330(a(n)) = 407.

LINKS

Table of n, a(n) for n=1..49.

FORMULA

Complement of A165334 with respect to A016789; a(n) mod 3 = 2.

EXAMPLE

a(4)=89: 89 -> 8^3+9^3=1241 -> 1+2^3+4^3+1=74 -> 7^3+4^3=407.

MATHEMATICA

f[n_] := Plus@@(IntegerDigits[n]^3); Trajectory[n_] := Most[NestWhileList[f, n, UnsameQ, All]]; Select[Range[1421], Last[Trajectory[#]]==407 &] (* Ant King, May 24 2013 *)

CROSSREFS

Subsequence of A165332.

Cf. A046197, A035504, A008585, A165333.

Sequence in context: A282633 A052231 A092178 * A039425 A043248 A044028

Adjacent sequences:  A165332 A165333 A165334 * A165336 A165337 A165338

KEYWORD

base,nonn

AUTHOR

Reinhard Zumkeller, Sep 17 2009

STATUS

approved

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Last modified June 24 11:40 EDT 2017. Contains 288697 sequences.