1,2

Binary Fibonacci (or rabbit) sequence A036299, read in base 3, then converted to decimal. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Oct 19 2007

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.

Adjacent sequences: A005202 A005203 A005204 this_sequence A005206 A005207 A005208

Sequence in context: A034792 A135457 A073733 this_sequence A065924 A013233 A013226

nonn,new

njas

More terms from Jonathan Vos Post (jvospost2(AT)yahoo.com), Oct 19 2007

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