A213732 Positions of even numbers greater than zero in A179016.

3, 5, 8, 11, 13, 16, 17, 22, 25, 26, 30, 33, 35, 36, 37, 39, 42, 43, 47, 50, 52, 53, 54, 55, 58, 65, 66, 69, 72, 73, 77, 80, 82, 83, 84, 85, 88, 95, 96, 98, 101, 108, 109, 110, 114, 115, 116, 117, 118, 121, 123, 126, 127, 131, 134, 136, 137, 138, 139, 142, 149

Offset

1,1

Comments

These are exactly those positions in the infinite trunk of beanstalk (see A179016 and A213729) where the node is the smaller of the two possible branches from one node below.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Formula

a(n) = A218772(n)+1.

Example

A179016(3) = 4 is the first case where the infinite trunk has continued to the smaller of two branches of the predecessor node. (In this case the predecessor node is A179016(2)=3, for which hold both 3+A000120(4)=3+1=4 (the smaller branch) and 3+A000120(5)=3+2=5 (the larger branch). Thus the first term of this sequence is 3.
A179016(5) = 8 is the second case where the infinite trunk has continued to the smaller of two branches of the predecessor node (In this case the predecessor node is A179016(4)=7, for which hold both 7+A000120(8)=7+1=8 (the smaller branch) and 7+A000120(9)=7+2=9 (the larger branch). Thus the second term of this sequence is 5.

Prog

(Scheme): (define (A213732 n) (1+ (A218772 n)))

Crossrefs

Complement of A213733. First differences: A218774.

Sequence in context: A025512 A288474 A310026 * A247909 A184659 A026274

Adjacent sequences: A213729 A213730 A213731 * A213733 A213734 A213735

Keyword

nonn

Author

Antti Karttunen, Nov 01 2012

Extensions

Description changed because of the changed starting offset of A179016. - Antti Karttunen, Nov 05 2012

Status

approved