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Search: id:A014291
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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). +0
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; listen)
OFFSET

0,5

REFERENCES

Charles Gely, "Lapins imaginaires et valeurs propres". Quadrature Quarterly #30.

FORMULA

a(n)=2*a(n-1)-a(n-2)-a(n-4); G.f.: (2*x-1)*(x-1)/(x^4+x^2-2*x+1); second differences give {-a(n-2)}.

CROSSREFS

Sequence in context: A145668 A129104 A092450 this_sequence A136587 A136247 A086610

Adjacent sequences: A014288 A014289 A014290 this_sequence A014292 A014293 A014294

KEYWORD

sign

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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