A226634 -id:A226634 - cp's OEIS frontend

A102284 Length of primitive cycle mentioned in A102280.

2, 3, 4, 6, 4, 7, 11, 5, 16, 5, 23, 8, 6, 20, 11, 18, 38, 29, 12, 28, 6, 24, 30, 10, 12, 38, 44, 24, 100, 17, 48, 72, 18, 14, 21, 106, 52, 29, 27, 75, 44, 7, 37, 26, 36, 14, 136, 140, 10, 59, 72, 42, 28, 15, 89, 47, 24, 34, 24, 110, 80, 72, 26, 46, 66, 141, 15, 10, 80, 68, 88, 38, 51, 20, 47, 66, 16, 107, 25, 58

Offset: 1

N. J. A. Sloane, Feb 19 2005

nonn

Geoffrey H. Morley, Table of n, a(n) for n = 1..10000
J. C. Lagarias, The set of rational cycles for the 3x+1 problem, Acta Arith. 56 (1990), 33-53. - See Table 3.1 on page 41. But there are errors - a(12)[k=35] and a(25)[k=73] are incorrect.

Cf. A102280, A226634.

a(12) and a(25) corrected and more terms added by Geoffrey H. Morley, Mar 14 2013

A226633 Smallest positive integer in the primitive cycle(s) under iteration by the 3x-k function, where k=A226630(n).

Original entry on oeis.org

1, 19, 65, 115, 2263, 113, 109, 95, 65, 989, 293, 511, 505, 769, 211, 311, 1085, 7471, 1291, 241, 211, 3605, 1273, 3841, 313, 15415, 6329, 563, 3457, 3095, 1775, 1483, 436099, 665, 2011, 2021, 1003, 1261, 24607, 1199, 665, 4397, 1153, 6839, 6073, 919, 1189

Offset: 1

Geoffrey H. Morley, Jun 14 2013

nonn

A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.

The 3x-k function T_k is defined by T_k(x) = x/2 if x is even, (3x-k)/2 if x is odd.

Geoffrey H. Morley, Table of n, a(n) for n = 1..600

Cf. A102280, A226634.

cp's OEIS Frontend

A102284 Length of primitive cycle mentioned in A102280.

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