A218772 Positions in the infinite trunk of beanstalk (see A179016) where the next node upwards is the smaller of the two possible branches.

2, 4, 7, 10, 12, 15, 16, 21, 24, 25, 29, 32, 34, 35, 36, 38, 41, 42, 46, 49, 51, 52, 53, 54, 57, 64, 65, 68, 71, 72, 76, 79, 81, 82, 83, 84, 87, 94, 95, 97, 100, 107, 108, 109, 113, 114, 115, 116, 117, 120, 122, 125, 126, 130, 133, 135, 136, 137, 138, 141, 148

Offset

1,1

Links

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

Example

A179016(2) = 3 is the first case where the next term A179016(3) = 4 is the smaller of two branches from 3 (the larger is 5, as 5 = 3+A000120(5)), thus the first term of this sequence is 2.
The next case occurs at A179016(4) = 7, as the next term here is again 8, the smaller of two branches from 7 (the larger being 9, as 9 = 7+A000120(9)), thus the second term of this sequence is 4.

Prog

(Scheme with Antti Karttunen's Intseq-library): (define A218772 (NONZERO-POS 1 0 (compose-funs A213728 1+)))

Crossrefs

Characteristic function: A213728 shifted once left. Complement: A218773. a(n) = A213732(n)-1. First differences: A218774.

Sequence in context: A177093 A164903 A285968 * A057843 A047539 A190521

Adjacent sequences: A218769 A218770 A218771 * A218773 A218774 A218775

Keyword

nonn

Author

Antti Karttunen, Nov 05 2012

Status

approved