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A059508 Transform of A059502 applied to sequence 5,6,7,... 2
5, 11, 29, 79, 216, 590, 1609, 4381, 11911, 32339, 87690, 237496, 642509, 1736399, 4688081, 12645655, 34080924, 91775426, 246948241, 663999649, 1784138875, 4790751131, 12856028814, 34478744044, 92416515221 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The fifth row of the array A059503.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for sequences related to boustrophedon transform

Index entries for linear recurrences with constant coefficients, signature (6,-11,6,-1).

FORMULA

From Colin Barker, Nov 30 2012: (Start)

a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4).

G.f.: x*(1-x)*(4*x^2-14*x+5)/(x^2-3*x+1)^2. (End)

a(n) = ((3 - n)*Fibonacci(2*n) + (20 + 3*n)*Fibonacci(2*n - 1))/5. - G. C. Greubel, Sep 10 2017

MATHEMATICA

Rest[CoefficientList[Series[x*(1-x)*(4*x^2 - 14*x + 5)/(x^2 - 3*x + 1)^2, {x, 0, 50}], x]] (* G. C. Greubel, Sep 10 2017 *)

PROG

(PARI) Vec(-x*(x-1)*(4*x^2-14*x+5)/(x^2-3*x+1)^2 + O(x^40)) \\ Michel Marcus, Sep 09 2017

CROSSREFS

Cf. A000667, A059216, A059219, A059502, A059503.

Sequence in context: A154504 A106060 A237642 * A084817 A183382 A100965

Adjacent sequences:  A059505 A059506 A059507 * A059509 A059510 A059511

KEYWORD

easy,nonn

AUTHOR

Floor van Lamoen, Jan 19 2001

STATUS

approved

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Last modified September 28 21:47 EDT 2020. Contains 337414 sequences. (Running on oeis4.)