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A114695 Three consecutive elements of the sequence built from a quadratic form over four consecutive Fibonacci numbers A000045. 5
2, 2, 4, 104, 143, 169, 4895, 6764, 7921, 229970, 317810, 372100, 10803704, 14930351, 17480761, 507544127, 701408732, 821223649, 23843770274, 32951280098, 38580030724, 1120149658760, 1548008755919, 1812440220361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..23.

FORMULA

a(3*n) = (Fibonacci(4n) + Fibonacci(4n+1) )*Fibonacci(4n+3).

a(3n+1) = (Fibonacci(4n) + Fibonacci(4n+2) )*Fibonacci(4*n+3).

a(3n+2) = (Fibonacci(4n+1) + Fibonacci(4n+2) )*Fibonacci(4n+3).

a(3n)=A001654(4n+2). a(3n+1)= A128535(4n+3). a(3n+2)= A007598(4n+3). G.f.: -(2+2*x+4*x^2+8*x^3+47*x^4-23*x^5-x^6-4*x^7+x^8)/((x-1)*(1+x+x^2)*(x^6-47*x^3+1)). a(n)=48*a(n-3)-48*a(n-6)+a(n-9). [From R. J. Mathar, Apr 16 2009]

MATHEMATICA

F[0] = 0; F[1] = 1; F[n_] := F[n] = F[n - 1] + F[n - 2] a = Flatten[Table[{(F[4*n] + F[4*n + 1])*F[4*n + 3], (F[4*n] + F[4*n + 2])*F[4*n + 3], (F[4*n + 1] + F[4*n + 2])*F[4*n + 3]}, {n, 0, 12}]]

CROSSREFS

Cf. A000045.

Sequence in context: A270554 A037010 A294184 * A134084 A267346 A264933

Adjacent sequences:  A114692 A114693 A114694 * A114696 A114697 A114698

KEYWORD

nonn,less

AUTHOR

Roger L. Bagula, Feb 21 2006

EXTENSIONS

Edited by the Associate Editors of the OEIS, Sep 02 2009

STATUS

approved

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Last modified October 14 16:48 EDT 2019. Contains 328022 sequences. (Running on oeis4.)