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A213787 a(n) = Sum_{1<=i<j<k<=n} F(i)*F(j)*F(k), where F(m) is the m-th Fibonacci number. 4
0, 0, 0, 2, 17, 102, 518, 2442, 11010, 48444, 209979, 902132, 3854708, 16416204, 69769244, 296148174, 1256077725, 5324954250, 22567665834, 95626443110, 405154147310, 1716454353240, 7271524823255, 30804002164872, 130491325800072, 552779233930872, 2341634254967448, 9919384305913082, 42019349641680905 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..500

FORMULA

G.f.: (x^4+2*x^3-4*x^2-5*x-2)*x^3 / ((x+1) * (x^2-x-1) * (x^2+4*x-1) * (x^2-3*x+1) * (x^2+x-1)). - Alois P. Heinz, Jun 20 2012

MAPLE

a:= n-> (Matrix(9, (i, j)-> `if`(i=j-1, 1, `if`(i=9,

         [1, 2, -14, -11, 40, 16, -29, -2, 6][j], 0)))^(n+3).

         <<0, -1, 0, 0, 0, 0, 2, 17, 102>>)[1, 1]:

seq (a(n), n=0..30);  # Alois P. Heinz, Jun 20 2012

MATHEMATICA

LinearRecurrence[{6, -2, -29, 16, 40, -11, -14, 2, 1}, {0, 0, 0, 2, 17, 102, 518, 2442, 11010}, 30] (* Jean-Fran├žois Alcover, Feb 13 2016 *)

PROG

(PARI) x='x+O('x^50); concat([0, 0, 0], Vec((x^4+2*x^3-4*x^2-5*x-2)*x^3 / ((x+1) * (x^2-x-1) * (x^2+4*x-1) * (x^2-3*x+1) * (x^2+x-1)))) \\ G. C. Greubel, Mar 05 2017

CROSSREFS

Cf. A000045, A190173.

Sequence in context: A119363 A272065 A129977 * A105652 A204238 A198796

Adjacent sequences:  A213784 A213785 A213786 * A213788 A213789 A213790

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 20 2012

STATUS

approved

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Last modified September 28 20:03 EDT 2021. Contains 347717 sequences. (Running on oeis4.)