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A051294
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F(n^2)/F(n), where F(n)=A000045(n) is the n-th Fibonacci number.
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3
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1, 3, 17, 329, 15005, 1866294, 598364773, 505248088463, 1114384187445409, 6440451785077489365, 97415813466381445596089, 3858093084890921488916776332, 400009475456580321242184872389193
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = [x^(n-1)] 1/(1 - Lucas(n)*x + (-1)^n*x^2), where Lucas(n) = A000204(n). [From Paul D. Hanna, Jan 28 2012]
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MATHEMATICA
| Table[Fibonacci[n^2]/Fibonacci[n], {n, 15}] (* From Harvey P. Dale, Apr 12 2011 *)
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PROG
| (PARI) a(n)=fibonacci(n^2)/fibonacci(n)
(PARI) {Lucas(n)=fibonacci(n-1)+fibonacci(n+1)}
{a(n)=polcoeff(1/(1-Lucas(n)*x+(-1)^n*x^2+x*O(x^n)), n-1)} /* Paul D. Hanna, Jan 28 2012 */
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CROSSREFS
| Main diagonal of array A028412.
Sequence in context: A155201 A062622 A009592 * A192556 A144033 A098138
Adjacent sequences: A051291 A051292 A051293 * A051295 A051296 A051297
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet
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EXTENSIONS
| More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 05 2003
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