A226625 Irregular array read by rows. a(n) is the length of the primitive Collatz-like 3x-k cycle associated with A226623(n).

1, 3, 11, 4, 6, 6, 17, 19, 19, 19, 19, 19, 19, 19, 19, 34, 12, 9, 5, 22, 22, 22, 12, 17, 17, 17, 69, 7, 7, 7, 18, 44, 22, 38, 38, 38, 38, 38, 22, 22, 33, 33, 22, 11, 11, 22, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 48, 12

Offset

1,2

Comments

Conjecture: Every cycle with the same value of k (k>1) has the same proportion of odd and even elements. Thus if n>1 then A226626(n)/A226625(n) has the same value for each m where A226628(n) <= m < A226628(n+1).

Links

Geoffrey H. Morley, Rows 1..280 of array, flattened

Example

The irregular array starts:
(k=1)  1, 3, 11;
(k=11) 4;
(k=17) 6, 6;
(k=19) 17;
a(4)=4 is the length of the 3x-11 cycle {19,23,29,38} associated with A226623(4)=19.

Crossrefs

Row n begins with a(A226628(n)) and has length A226629(n). k=A226630(n)

The cycle associated with a(n) has A226626(n) odd elements of which A226624(n) is the largest.

Cf. A226609, A226627, A226631, A226686, A226687, A226688.

Sequence in context: A176781 A349407 A306367 * A210610 A188950 A357115

Adjacent sequences: A226622 A226623 A226624 * A226626 A226627 A226628

Keyword

nonn,tabf

Author

Geoffrey H. Morley, Jun 13 2013

Status

approved