A226611 Irregular array read by rows. a(n) is the smallest starting value of a T_k trajectory that includes A226607(n), where T_k is the 3x+k function associated with A226607(n).

1, 1, 3, 23, 123, 171, 1, 1, 3, 1, 19, 99, 147, 163, 123, 283, 159, 319, 1, 9, 1, 5, 7, 1, 1, 3, 1, 3, 2531, 5859, 1, 1, 3, 1, 3, 7, 1, 1, 5, 1, 9, 33, 39, 21, 101, 1, 1, 1, 7, 9, 1, 3, 149, 21, 93, 125, 221, 1, 175, 1, 1, 1, 7, 2585, 1073, 2301, 4121, 893

Offset

1,3

Links

Geoffrey H. Morley, Rows 1..2032 of array, flattened

Example

The irregular array starts:
(k=1)  1;
(k=5)  1, 3, 23, 123, 171;
(k=7)  1;
(k=11) 1, 3;
a(3)=3 is the smallest starting value for a 3x+5 trajectory that includes A226607(3)=19. The trajectory is {3,7,13,22,11,19,...}.

Crossrefs

Row n begins with a(A226612(n)) and has length A226613(n).

The cycle associated with a(n) has length A226609(n) and A226610(n) odd elements of which A226608(n) is the largest.

Cf. A226627.

Sequence in context: A290367 A006557 A362158 * A081628 A267656 A122883

Adjacent sequences: A226608 A226609 A226610 * A226612 A226613 A226614

Keyword

nonn,tabf

Author

Geoffrey H. Morley, Jun 13 2013

Status

approved