login
Number of steps to fixed point of "k -> k/2 or (k-1)/2 until result is prime", starting with prime(n)-1.
4

%I #9 Nov 17 2013 14:53:16

%S 1,1,2,2,2,3,4,4,2,3,3,5,4,4,2,3,2,4,6,3,6,3,2,4,6,6,6,2,4,5,3,7,4,4,

%T 3,3,4,6,2,3,2,5,3,7,7,7,5,5,2,6,4,3,6,4,8,2,3,3,5,5,5,3,5,5,5,3,4,7,

%U 2,4,6,2,6,5,4,2,3,8,8,8,6,6,3,6,3,6,7,7,7,7,2,2,7,4,5,2,3,9,9,4,6,3

%N Number of steps to fixed point of "k -> k/2 or (k-1)/2 until result is prime", starting with prime(n)-1.

%H Reinhard Zumkeller, <a href="/A039642/b039642.txt">Table of n, a(n) for n = 1..10000</a>

%t see A039636.

%o (Haskell)

%o a039642 1 = 1

%o a039642 n = snd $ until ((== 1) . a010051 . fst)

%o (\(x, i) -> (x `div` 2 , i + 1)) (a000040 n - 1, 1)

%o -- _Reinhard Zumkeller_, Nov 17 2013

%Y Cf. A039634-A039645.

%Y Cf. A010051, A000040, A039638, A039644, A039636.

%K nonn

%O 1,3

%A _Wouter Meeussen_

%E Offset corrected by _Reinhard Zumkeller_, Nov 17 2013