A154877 -id:A154877 - cp's OEIS frontend

A165338 Duplicate of A154877.

16, 22, 61, 79, 97, 106, 115, 127, 151, 160, 172, 202, 217, 220

Offset: 1

dead

A165336 Numbers that eventually reach a cycle under "x -> sum of cubes of digits of x" (see A055012).

4, 13, 16, 22, 25, 28, 31, 40, 46, 49, 52, 55, 61, 64, 79, 82, 94, 97, 103, 106, 115, 127, 130, 133, 136, 151, 160, 163, 172, 199, 202, 205, 208, 217, 220, 229, 235, 238, 244, 250, 253, 256, 265, 271, 280, 283, 289, 292, 298, 301, 310, 313, 316, 325, 328, 331

Offset: 1

Reinhard Zumkeller, Sep 17 2009

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

Complement of A031179.
Subsequence of A016777; a(n) mod 3 = 1;
Union of A154820, A165337, A154877, and A165339.

A154820 Numbers whose trajectory under iteration of sum of cubes of digits eventually turns out to follow the cyclic iteration of 133, 55, 250.

Original entry on oeis.org

4, 13, 25, 28, 31, 40, 46, 52, 55, 64, 82, 103, 130, 133, 205, 208, 250, 256, 265, 280, 289, 298, 301, 310, 313, 331, 349, 394, 400, 406, 439, 448, 460, 484, 493, 502, 505, 520, 526, 550, 562, 589, 598, 604, 625, 640, 652, 679, 697, 769, 796, 802, 820, 829

Offset: 1

Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 15 2009

All the numbers are of the form 3n+1.

Subsequence of A165336. - Reinhard Zumkeller, Sep 17 2009

			Taking 40 for example,
  4^3 + 0^3 = 64;
  6^3 + 4^3 = 280;
  2^3 + 8^3 + 0^3 = 520;
  5^3 + 2^3 + 0^3 = 133;
  1^3 + 3^3 + 3^3 = 55;
  5^3 + 5^3 = 250.

Cf. A165337, A154877, A165336, A165339.

A055012 := proc(n) local a,d ; a := 0 ; for d in convert(n,base,10) do a := a+d^3; od; a ; end: isA154820 := proc(n) local traj,t ; t := n ; traj := {} ; while true do if t in traj then if t in {133,55,250} then RETURN(true) ; else RETURN(false) ; fi; else traj := traj union {t} ; t := A055012(t) ; fi; od: end: for n from 1 to 1000 do if isA154820(n) then printf("%d,",n) ; fi; od: # R. J. Mathar, Jan 18 2009

Extended by R. J. Mathar, Jan 18 2009

Edited by Charles R Greathouse IV, Aug 02 2010

A165339 Numbers that eventually reach the cycle 919-1459 under "x -> sum of cubes of digits of x" (see A055012).

Original entry on oeis.org

49, 94, 199, 337, 373, 379, 397, 409, 478, 487, 490, 733, 739, 748, 784, 793, 847, 874, 904, 919, 937, 940, 973, 991, 1099, 1129, 1147, 1174, 1192, 1219, 1237, 1273, 1291, 1327, 1339, 1369, 1372, 1393, 1396, 1399, 1417, 1459, 1468, 1471, 1486, 1495, 1549

Offset: 1

Reinhard Zumkeller, Sep 17 2009

A165330(a(n)) = 919;

Subsequence of A165336.

			a(1)=49: 49 -> 4^3+9^3=793 -> 7^3+9^3+3^3=1099 -> 1+0+2*9^3=1459 -> 919 -> 1459 ... .

Cf. A154820, A154877, A165330, A165336.

A165337 Numbers that eventually reach the cycle 136-244 under "x -> sum of cubes of digits of x" (see A055012).

Original entry on oeis.org

136, 163, 244, 316, 361, 424, 442, 613, 631, 1036, 1063, 1306, 1360, 1489, 1498, 1603, 1630, 1849, 1894, 1948, 1984, 2044, 2344, 2347, 2374, 2404, 2434, 2437, 2440, 2443, 2467, 2473, 2476, 2647, 2674, 2734, 2743, 2746, 2764, 3016, 3061, 3106, 3160, 3244

Offset: 1

Reinhard Zumkeller, Sep 17 2009

A165330(a(n)) = 136;

Subsequence of A165336.

Cf. A154820, A154877, A165330, A165336, A165339.

cp's OEIS Frontend

A165338 Duplicate of A154877.

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A165336 Numbers that eventually reach a cycle under "x -> sum of cubes of digits of x" (see A055012).

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A154820 Numbers whose trajectory under iteration of sum of cubes of digits eventually turns out to follow the cyclic iteration of 133, 55, 250.

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A165339 Numbers that eventually reach the cycle 919-1459 under "x -> sum of cubes of digits of x" (see A055012).

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A165337 Numbers that eventually reach the cycle 136-244 under "x -> sum of cubes of digits of x" (see A055012).

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