1,2

Binary Fibonacci (or rabbit) sequence A036299, read in base 3, then converted to decimal. - Jonathan Vos Post (jvospost3(AT)gmail.com), Oct 19 2007

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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.

a(0) = 1 because A036299(0) = "1" and 1 base 3 = 1 base 10.

a(1) = 3 because A036299(1) = "10" and 10 base 3 = 3 base 10.

a(2) = 10 because A036299(2) = "101" and 101 base 3 = 10 base 10.

a(3) = 93 because A036299(3) = "10110" and 10110 base 3 = 93 base 10.

a(4) = 2521 because A036299(4) = "10110101" and 10110101 base 3 = 2521 base 10.

a(5) = 612696 because A036299(5) = "1011010110110" and 1011010110110 base 3 = 612696 base 10.

b:= proc(n) option remember; if n=0 then [0, 0] elif n=1 then [1, 1] else [b(n-1)[1] *3^b(n-1)[2] +b(n-2)[1], b(n-1)[2] +b(n-2)[2]] fi end: a:= n-> b(n)[1]: seq (a(n), n=1..11); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 17 2008]

Cf. A005205, A036299.

Sequence in context: A034792 A135457 A073733 this_sequence A065924 A013233 A013226

Adjacent sequences: A005202 A005203 A005204 this_sequence A005206 A005207 A005208

nonn

N. J. A. Sloane (njas(AT)research.att.com).

More terms from Jonathan Vos Post (jvospost3(AT)gmail.com), Oct 19 2007

Corrected (a(4) was missing) and extended by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 17 2008