A140500 - OEIS

A140500

Period 18: repeat [1, 1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -2, 1, 1, -1, 2, -1].

1, 1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -2, 1, 1, -1, 2, -1, 1, 1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -2, 1, 1, -1, 2, -1, 1, 1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -2, 1, 1, -1, 2, -1, 1, 1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -2, 1, 1, -1, 2, -1, 1, 1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -2, 1, 1, -1, 2, -1, 1, 1, -2, 2

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..93.

Index entries for linear recurrences with constant coefficients, signature (0,0,1,0,0,-1).

FORMULA

From Chai Wah Wu, Jun 04 2016: (Start)

a(n) = a(n-3) - a(n-6) for n > 5.

G.f.: (1 - x)*(1 + 2*x + x^3 - x^4)/(1 - x^3 + x^6). (End)

MATHEMATICA

CoefficientList[Series[(1 - x)*(1 + 2*x + x^3 - x^4)/(1 - x^3 + x^6), {x, 0, 80}], x] (* Wesley Ivan Hurt, Jan 01 2024 *)

PadRight[{}, 100, {1, 1, -2, 2, -1, -1, 1, -2, 1, -1, -1, 2, -2, 1, 1, -1, 2, -1}] (* or *) LinearRecurrence[{0, 0, 1, 0, 0, -1}, {1, 1, -2, 2, -1, -1}, 100] (* Harvey P. Dale, Jun 22 2024 *)

CROSSREFS

Sequence in context: A117898 A212810 A072344 * A156054 A030616 A066422

Adjacent sequences: A140497 A140498 A140499 * A140501 A140502 A140503

KEYWORD

sign,easy,less

AUTHOR

Paul Curtz, Jun 29 2008

STATUS

approved

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