A213725 a(n)=0 if n is in the infinite trunk of Carl White's beanstalk (i.e., in A179016), otherwise 1 + number of steps to reach the farthest leaf in that finite branch of the beanstalk.

0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 3, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 3, 0, 1, 2, 0, 1, 1, 1, 0, 4, 1, 0, 3, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 3, 0, 1, 2, 0, 1, 1, 1, 0, 4, 1, 0, 3, 1, 1, 0, 2

Offset: 0

Author

Antti Karttunen, Nov 01 2012

Keywords

• nonn
• base

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16384

Crossrefs

Differs from A213726 for the first time at n=208, where a(n)=5, while A213726(208)=6.

For all n, a(A179016(n)) = 0, a(A055938(n)) = 1, and a(A213717(n)) >= 2. Cf. A213726, A213727-A213731.

Formula

If A079559(n)=0, a(n)=1; otherwise, if A213719(n)=1, a(n)=0; otherwise a(n) = 1+max(a(A213723(n)), a(A213724(n))),