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9, 1, 1, 25, 25, 1, 121, 225, 9, 529, 1681, 441, 1849, 11025, 6889, 4225, 64009, 73441, 2209, 326041, 632025, 31329, 1413721, 4669921, 1320201, 4844401, 30371121, 19882681, 10582009, 174847729, 208196041, 4190209, 882030601, 1770810561
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (0,-1,6,3,2,-1).
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FORMULA
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a(n) = -a(n-2)+6*a(n-3)+3*a(n-4)+2*a(n-5)-a(n-6) with a(0)=9, a(1)=1, a(2)=1, a(3)=25, a(4)=25, a(5)=1.
G.f.: (9+x+10*x^2-28*x^3-7*x^4-x^5)/(1+x^2-6*x^3-3*x^4-2*x^5+x^6).
a(n) = 2*A001644(n)+A073496(n).
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MATHEMATICA
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CoefficientList[Series[(9+x+10x^2-28x^3-7x^4-x^5)/(1+x^2-6x^3-3x^4-2x^5+x^6), {x, 0, 40}], x]
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CROSSREFS
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Cf. A001644, A073145, A073496.
Sequence in context: A174346 A144404 A014761 * A171822 A176490 A174158
Adjacent sequences: A073699 A073700 A073701 * A073703 A073704 A073705
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KEYWORD
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nonn,easy
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Aug 04 2002
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STATUS
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approved
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