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A169627 A conjectured sequence of bud numbers for eucalyptus flowers. 1

%I

%S 1,3,7,13,21,31

%N A conjectured sequence of bud numbers for eucalyptus flowers.

%C 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 ..."

%C It would be nice to have more information.

%C 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

%H D. J. Carr and S. G. M. Carr, <a href="http://www.publish.csiro.au/paper/BT9590109">Developmental morphology of the floral organs of Eucalyptus. I. The inflorescence</a>, 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).

%H L. D. Pryor, <a href="http://www.biodiversitylibrary.org/item/108709#page/155/mode/1up">Illustration of initial terms (Fig. 2b)</a>

%H L. D. Pryor, <a href="http://www.biodiversitylibrary.org/page/34962221">The inheritance of inflorescence characters in Eucalyptus</a>, Proceedings of the Linnean Society of New South Wales, V. 79, (1954), p. 79-89. [From _Omar E. Pol_, Mar 07 2010]

%H P. E. Weidmann, <a href="http://worldwidemann.com/the-sequencer-oeis-survey/#a169627httpoeisorga169627">The OEIS Sequencer survey</a>, Apr 11 2015

%Y Cf. A169626.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, based on email from _Omar E. Pol_, Mar 07 2010

%E Added information to the Carr & Carr link. - _R. J. Mathar_, Mar 08 2010

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Last modified November 15 09:03 EST 2019. Contains 329144 sequences. (Running on oeis4.)