A169627 A conjectured sequence of bud numbers for eucalyptus flowers.

1, 3, 7, 13, 21, 31

Offset

0,2

Comments

The Carr and Carr article says: "Pryor (1954) has postulated three developmental series of bud numbers, as follows : (a) 1, 3, 7, 11, 15, 23, 35 ... (b) 1, 3, 7, 13, 21, 31 ...; (c) 1, 3, 15, 31, 63, 127 ..."

It would be nice to have more information.

The given terms (corresponding to (b) above) would match the formula a(n)=n^2+n+1, as suggested (with offset corrected) on the Weidmann's web page, cf. LINKS. This would mean that a(n) = A002061(n+1). But based on the construction and illustration in the Pryor paper, it could as well be a duplicate of A161206. The first terms also coincide with the Treillis sequence A115298. - M. F. Hasler, Apr 14 2015

Links

Table of n, a(n) for n=0..5.

D. J. Carr and S. G. M. Carr, Developmental morphology of the floral organs of Eucalyptus. I. The inflorescence, Austr. J. Botany 7(2) (1959), 109-141. [2.6 MB, may need longer to load]], (a link with less information. The main links are below).

L. D. Pryor, Illustration of initial terms (Fig. 2b)

L. D. Pryor, The inheritance of inflorescence characters in Eucalyptus, Proceedings of the Linnean Society of New South Wales, V. 79, (1954), p. 79-89. [From Omar E. Pol, Mar 07 2010]

P. E. Weidmann, The OEIS Sequencer survey, Apr 11 2015

Crossrefs

Cf. A169626.

Sequence in context: A298267 A235532 A195020 * A102508 A115298 A161206

Adjacent sequences: A169624 A169625 A169626 * A169628 A169629 A169630

Keyword

nonn

Author

N. J. A. Sloane, based on email from Omar E. Pol, Mar 07 2010

Extensions

Added information to the Carr & Carr link. - R. J. Mathar, Mar 08 2010

Status

approved