cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A083335 a(n) = 12*a(n-2) - 25*a(n-4) with initial terms 1,1,7,12.

Original entry on oeis.org

1, 1, 7, 12, 59, 119, 533, 1128, 4921, 10561, 45727, 98532, 425699, 918359, 3965213, 8557008, 36940081, 79725121, 344150647, 742776252, 3206305739, 6920186999, 29871902693, 64472837688, 278305188841, 600669377281, 2592864698767, 5596211585172, 24156746664179
Offset: 0

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Author

Mario Catalani (mario.catalani(AT)unito.it), Apr 26 2003

Keywords

Comments

A083334(n)/a(n) converges to sqrt(11).

Crossrefs

Cf. A010468 (sqrt(11)), A083334.

Programs

  • Mathematica
    CoefficientList[Series[(1+x-5x^2)/(1-12x^2+25x^4), {x, 0, 30}], x]
    LinearRecurrence[{0,12,0,-25},{1,1,7,12},30] (* Harvey P. Dale, Mar 19 2013 *)

Formula

G.f.: (1 + x - 5*x^2) / (1 - 12*x^2 + 25*x^4).
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