A215045 a(n) = F(2*n+1)^5 with n >= 0, F=A000045 (Fibonacci numbers).

1, 32, 3125, 371293, 45435424, 5584059449, 686719856393, 84459630100000, 10387823949447757, 1277617458486664901, 157136551895768914976, 19326518128014212635057, 2377004590722802744140625, 292352238096435536675521568

Offset: 0

Author

Wolfdieter Lang, Aug 31 2012

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (144,-2640,6930,-2640,144,-1).

Crossrefs

Cf. A000045, A056572, A215044 (even part).

Programs

Magma

[Fibonacci(2*n+1)^5: n in [0..15]]; // Vincenzo Librandi, Sep 02 2012

Mathematica

Table[Fibonacci[2*n+1]^5, {n,0,201}] (* Vincenzo Librandi, Sep 02 2012 *)
Fibonacci[Range[1,35,2]]^5 (* Harvey P. Dale, Apr 05 2019 *)

Formula

O.g.f.: (1-x)*(1-111*x+1046*x^2-111*x^3+x^4)/((1-3*x+x^2)*(1-18*x+x^2)*(1-123*x+x^2)). From the odd part of the bisection of A056572.