A213731 a(n)=0 if n is in A055938, a(n)=1 if n is in A179016, otherwise (i.e., n is in A213717), a(n)=2.

1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2

Offset: 0

Author

Antti Karttunen, Nov 01 2012

Keywords

• nonn

Comments

Those natural numbers n for which a(n)=1 belong to the infinite trunk of "Carl White's beanstalk" (see A179016), while the numbers n for which a(n)=0, are the leaves (terminal, dead-end nodes) of the same beanstalk, while those n for which a(n)=2, are non-terminal nodes in its finite tendrils.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..1024

Crossrefs

Cf. A179016, A213725, A213726, A213730.

Programs

Scheme

: (define (A213731 n) (+ (A079559 n) (- (A079559 n) (A213719 n))))

Formula

a(n) = 2*A079559(n) - A213719(n).