A179738 Let x,y be odd numbers and symbol "m<+>k" be defined as in A179382. Consider sequence x<+>y, x<+>(3*(x<+>y)), x<+>(x<+>(3*(x<+>y))), x<+>(3*(x<+>(x<+>(3*(x<+>y)))),... ; a(n) is the smallest period in case x=2*n-1,y=1.

1, 2, 3, 1, 4, 8, 2, 4, 8, 4, 2, 2, 1, 4, 12, 4, 2, 26

Offset

2,2

Comments

The name contains an unmatched parenthesis. - Editors, Mar 13 2024

Links

Table of n, a(n) for n=2..19.

Example

Let n=6, 2*n-1=11. We have 11<+>1=3, 11<+>(3*3)=5, 11<+>5=1, 11<+>(3*1)=7, 11<+>7=9, 11<+>(3*9)=19, 11<+>19=15, 11<+>(3*15)=7, 11<+>7=9,... Thus we have eventually periodic sequence with the smallest period 4 (with elements 7,9,19,15). Thus a(6)=4.

Crossrefs

Cf. A179382, A179480, A179686.

Sequence in context: A258579 A263757 A021436 * A377307 A187889 A353593

Adjacent sequences: A179735 A179736 A179737 * A179739 A179740 A179741

Keyword

nonn,uned

Author

Vladimir Shevelev, Jul 25 2010

Status

approved