A275932 a(n) = F(2*n+6)*F(2*n+2)^3, where F = Fibonacci (A000045).

8, 567, 28160, 1333584, 62723375, 2947166208, 138457523672, 6504579992295, 305576963500544, 14355613810692000, 674408279720748383, 31682833585030397952, 1488418770572887642280, 69923999385781980681879, 3284939552377913067968000, 154322234962490820966855408

Offset

0,1

Comments

The right-hand side of Helmut Postl's identity F(2n+6) + F(n)*F(n+4)^3 = F(n+6)*F(n+2)^3, n even.

Links

Colin Barker, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (55,-385,385,-55,1).

Formula

From Colin Barker, Aug 31 2016: (Start)

a(n) = 55*a(n-1)-385*a(n-2)+385*a(n-3)-55*a(n-4)+a(n-5) for n>4.

G.f.: (8+127*x+55*x^2-x^3) / ((1-x)*(1-47*x+x^2)*(1-7*x+x^2)).

(End)

Mathematica

Table[(Fibonacci[2 n + 6] Fibonacci[2 n + 2]^3), {n, 0, 20}] (* Vincenzo Librandi, Sep 02 2016 *)

Prog

(PARI) Vec((8+127*x+55*x^2-x^3)/((1-x)*(1-47*x+x^2)*(1-7*x+x^2)) + O(x^20)) \\ Colin Barker, Aug 31 2016
(Magma) [Fibonacci(2*n+6)*Fibonacci(2*n+2)^3: n in [0..25]]; // Vincenzo Librandi, Sep 02 2016

Crossrefs

Cf. A000045.

Sequence in context: A301950 A240300 A240432 * A058045 A086641 A248706

Adjacent sequences: A275929 A275930 A275931 * A275933 A275934 A275935

Keyword

nonn

Author

N. J. A. Sloane, Aug 31 2016

Status

approved