A213730 After zero, gives the numbers where finite "side-trees" (or "tendrils") of beanstalk branch off from its infinite trunk (A179016).

0, 2, 5, 6, 9, 10, 14, 17, 18, 22, 27, 30, 33, 34, 38, 43, 47, 48, 52, 56, 62, 65, 66, 70, 75, 79, 80, 84, 88, 95, 96, 100, 105, 108, 113, 117, 121, 126, 129, 130, 134, 139, 143, 144, 148, 152, 159, 160, 164, 169, 172, 177, 181, 185, 191, 192, 196, 201, 204, 208, 214, 220, 224, 230, 237, 241, 246, 254, 257, 258, 262, 267, 271, 272, 276, 280, 287, 288, 292, 297, 300, 305, 309, 313, 319, 320, 324

Offset

0,2

Comments

These are the other branches branching off from the infinite trunk, than the ones that stay in that infinite trunk. These other branches are always finite, except for the zero in which case the other branch leads to 1, and the other branch (listed here) leads back to zero itself (as 0-A000120(0) = 0).

The terms include also those leaves (i.e. those terms of A055938) that are right next to the infinite trunk.

Links

Antti Karttunen, Table of n, a(n) for n = 0..8727

Formula

a(n) = A213723(A179016(n)) + A213728(n+1).

a(n) = A179016(n+1) + (-1)^A213729(n+1).

Prog

(Scheme): (define (A213730 n) (+ (A213723 (A179016 n)) (A213728 (1+ n))))
;; Alternative definition:
(define (A213730v2 n) (+ (A179016 (1+ n)) (expt -1 (A213729 (1+ n)))))

Crossrefs

Cf. A218548.

Sequence in context: A003664 A065890 A162177 * A191172 A078632 A309242

Adjacent sequences: A213727 A213728 A213729 * A213731 A213732 A213733

Keyword

nonn

Author

Antti Karttunen, Nov 01 2012

Extensions

Offset changed from 1 to 0 by Antti Karttunen, Nov 05 2012

Status

approved