A083335 a(n)=12a(n-2)-25a(n-4).

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

Offset

0,3

Comments

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

Links

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (0, 12, 0, -25).

Formula

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

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 *)

Crossrefs

Sequence in context: A108238 A038278 A266056 * A358782 A119179 A121983

Adjacent sequences: A083332 A083333 A083334 * A083336 A083337 A083338

Keyword

easy,nonn

Author

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

Status

approved