A014291 - OEIS

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A014291

Imaginary Rabbits: imaginary part of a(0)=I; a(1)=-I; a(n)=a(n-1)+I*a(n-2).

1, -1, -1, -1, -2, -2, -1, 1, 5, 11, 18, 24, 25, 15, -13, -65, -142, -234, -313, -327, -199, 163, 838, 1840, 3041, 4079, 4279, 2639, -2042, -10802, -23841, -39519, -53155, -55989, -34982, 25544, 139225, 308895, 513547, 692655 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,5`
	REFERENCES	`Charles Gely, "Lapins imaginaires et valeurs propres". Quadrature Quarterly #30.`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (2,-1,0,-1).`
	FORMULA	`a(n)=2a(n-1)-a(n-2)-a(n-4); G.f.: (2x-1)(x-1)/(x^4+x^2-2x+1); second differences give {-a(n-2)}.`
	CROSSREFS	`Sequence in context: A129104 A177694 A092450 * A136587 A136247 A086610` `Adjacent sequences: A014288 A014289 A014290 * A014292 A014293 A014294`
	KEYWORD	`sign`
	AUTHOR	`Olivier Gerard (olivier.gerard(AT)gmail.com)`

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Last modified February 16 13:02 EST 2012. Contains 205909 sequences.