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A187763
Number of common terms in consecutive Collatz trajectories.
1
1, 2, 3, 3, 6, 7, 4, 4, 7, 7, 7, 7, 10, 9, 5, 5, 13, 16, 8, 5, 5, 9, 7, 7, 11, 9, 9, 16, 9, 17, 5, 5, 14, 9, 9, 19, 16, 22, 9, 9, 5, 5, 16, 14, 9, 17, 7, 7, 16, 20, 12, 9, 12, 106, 9, 20, 16, 20, 9, 17, 20, 95, 5, 5, 16, 23, 14, 12, 9, 15, 9, 9, 9, 5, 5, 20
OFFSET
1,2
COMMENTS
Size of intersection of row n and row n+1 in A070165.
EXAMPLE
. | Rows in A070165 (trajectories)
a(1) = #{1} = 1; | 1
a(2) = #{2,1} = 2; | 2,1
a(3) = #{4,2,1} = 3; | 3,10,5,16,8,4,2,1
a(4) = #{4,2,1} = 3; | 4,2,1
a(5) = #{5,16,8,4,2,1} = 6; | 5,16,8,4,2,1
a(6) = #{10,5,16,8,4,2,1} = 7; | 6,3,10,5,16,8,4,2,1
a(7) = #{8,4,2,1} = 4; | 7,22,11,34,17,52,26,13,40,20,10,5,..
a(8) = #{8,4,2,1} = 4; | 8,4,2,1
a(9) = #{10,5,16,8,4,2,1} = 7; | 9,28,14,7,22,11,34,17,52,26,13,40,..
a(10) = #{10,5,16,8,4,2,1} = 7; | 10,5,16,8,4,2,1
a(11) = #{10,5,16,8,4,2,1} = 7; | 11,34,17,52,26,13,40,20,10,5,16,8,4,..
a(12) = #{10,5,16,8,4,2,1} = 7. | 12,6,3,10,5,16,8,4,2,1
. | 13,40,20,10,5,16,8,4,2,1 .
MATHEMATICA
coll[n_]:=NestWhileList[If[EvenQ[#], #/2, 3#+1]&, n, #>1&]; Table[Length[Intersection[coll[n], coll[n+1]]], {n, 76}] (* Jayanta Basu, May 28 2013 *)
PROG
(Haskell)
import Data.List (intersect)
a187763 n = a187763_list !! (n-1)
a187763_list = map length $
zipWith intersect a070165_tabf $ tail a070165_tabf
CROSSREFS
Sequence in context: A159685 A370804 A251729 * A187262 A117670 A368253
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Jan 04 2013
STATUS
approved

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