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A036299 Binary Fibonacci (or rabbit) sequence. 11
1, 10, 101, 10110, 10110101, 1011010110110, 101101011011010110101, 1011010110110101101011011010110110, 1011010110110101101011011010110110101101011011010110101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A055642(a(n)) = A000045(n+2). -- Reinhard Zumkeller, Jul 06 2014

REFERENCES

Kappraff, Blackmore and Adamson, Phyllotaxis as a dynamical system..., Chap. 17 of Jean and Barabe, eds., Symmetry in Plants, World Scientific, Studies in Math. Biology and Medicine, Vol. 4.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..14

M. S. El Naschie, Statistical geometry of a Cantor discretum and semiconductors, Computers Math. Applic., 29 (No, 12, 1995), 103-110.

C. J. Glasby, S. P. Glasby, F. Pleijel, Worms by number, Proc. Roy. Soc. B, Proc. Biol. Sci. 275 (1647) (2008) 2071-2076.

H. W. Gould, J. B. Kim and V. E. Hoggatt, Jr., Sequences associated with t-ary coding of Fibonacci's rabbits, Fib. Quart., 15 (1977), 311-318.

FORMULA

a(n+1) = concatenation of a(n) and a(n-1).

MATHEMATICA

nxt[{a_, b_}]:=FromDigits[Join[IntegerDigits[b], IntegerDigits[a]]]; Transpose[NestList[{Last[#], nxt[#]}&, {1, 10}, 10]][[1]] (* Harvey P. Dale, Oct 16 2011 *)

PROG

(Haskell)

a036299 n = a036299_list !! n

a036299_list = map read rabbits :: [Integer] where

   rabbits = "1" : "10" : zipWith (++) (tail rabbits) rabbits

-- Reinhard Zumkeller, Jul 06 2014

CROSSREFS

Cf. A005614, A003849.

Sequence in context: A162849 A041182 * A061107 A015498 A266283 A039393

Adjacent sequences:  A036296 A036297 A036298 * A036300 A036301 A036302

KEYWORD

nonn,easy,nice,base

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified November 23 21:46 EST 2017. Contains 295141 sequences.