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Search: id:A082290
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| A082290 |
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Expansion of (1+x+x^2)/((1+x^2)(1+x)^4(1-x)^5). |
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+0
3
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| 1, 2, 6, 9, 19, 26, 46, 59, 94, 116, 172, 206, 290, 340, 460, 530, 695, 790, 1010, 1135, 1421, 1582, 1946, 2149, 2604, 2856, 3416, 3724, 4404, 4776, 5592, 6036, 7005, 7530, 8670, 9285, 10615, 11330, 12870, 13695, 15466, 16412, 18436, 19514, 21814, 23036
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: (1+x+x^2)/((1+x^2)(1+x)^4(1-x)^5). a(n)=3*a(n-2)-2*a(n-4)-2*a(n-6)+3*a(n-8)-a(n-10)+3. a(-9-n)=a(n).
Euler transform of length 4 sequence [2,3,-1,1]. - Michael Somos Feb 15 2006
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PROGRAM
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(PARI) a(n)=if(n<-8, a(-9-n), polcoeff((1+x+x^2)/((1+x^2)*(1+x)^4*(1-x)^5)+x*O(x^n), n))
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CROSSREFS
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Cf. A070893(n)=a(2n-2). A082289(n)=a(2n-7).
Adjacent sequences: A082287 A082288 A082289 this_sequence A082291 A082292 A082293
Sequence in context: A002886 A028724 A076738 this_sequence A093840 A129233 A106529
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KEYWORD
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nonn,easy
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AUTHOR
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Michael Somos, Apr 07 2003
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