0,3

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

A. K. Whitford, Binet's formula generalized, Fib. Quart., 15 (1977), pp. 21, 24, 29.

Joerg Arndt, Fxtbook

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

A. Bremner and N. Tzanakis, Lucas sequences whose 8th term is a square

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 437

Zerinvary Lajos, Sage Notebooks

a(n)={[ (1+sqrt(17))/2 ]^(n+1) - [ (1-sqrt(17))/2 ]^(n+1)}/sqrt(17).

a(n+1)=sum(k=0, ceil(n/2), 4^k*binomial(n-k, k)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 06 2004

G.f.: 1/(1-x-4x^2).

a(n)=sum{k=0..n, binomial((n+k)/2, (n-k)/2)(1+(-1)^(n-k))2^(n-k)/2}; - Paul Barry (pbarry(AT)wit.ie), Aug 28 2005

A102446/2 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 09 2008

A006131:=-1/(-1+z+4*z**2); [Conjectured by S. Plouffe in his 1992 dissertation.]

sage: from sage.combinat.sloane_functions import recur_gen2b sage: it = recur_gen2b(2, 2, 1, 4, lambda n: 0) sage: [it.next()/2 for i in range(29)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 09 2008

Cf. A006130, A015440.

Cf. A026581, A026583, A026597, A026599, A052923.

Sequence in context: A048884 A077915 A026587 this_sequence A049602 A119031 A034435

Cf. A102446.

Adjacent sequences: A006128 A006129 A006130 this_sequence A006132 A006133 A006134

nonn

njas

More terms from Roger Bagula, Sep 26 2006