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

Author

Antti Karttunen, Nov 01 2012

Keywords

• nonn

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

Crossrefs

Cf. A218548.

Programs

Scheme

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

Formula

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

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

Extensions

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