0,4

Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 17 2009: (Start)

Preface the series with another "1": (1, 1, 1, 3, 7,...a(n)). Then a(n+2) =

(1, 1, 1, 3, 7,...a(n)) dot (equal number of terms in (1, 2, 4, 8,...)).

Example: (143) = (1, 1, 1, 3, 7) dot (1, 2, 4, 8, 16) = (1 + 2 + 4 + 24 + 112).

Analogous procedures apply to other q-Fibonacci sequences for q(n). (End)

a(n) = a(n-1) + 2^(n-2) a(n-2).

Associated constant: C_2=lim n ->infty a(n)*a(n-2)/a(n-1)^2 =1.225306147422043724739386133....(C_1=1) - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 30 2003

Cf. A015460.

Sequence in context: A121620 A042271 A000644 this_sequence A115083 A141385 A059296

Adjacent sequences: A015456 A015457 A015458 this_sequence A015460 A015461 A015462

nonn,easy

Olivier Gerard (olivier.gerard(AT)gmail.com)