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Search: id:A106233
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| 0, 1, 3, 5, 5, 0, -14, -41, -81, -121, -121, 0, 364, 1093, 2187, 3281, 3281, 0, -9842, -29525, -59049, -88573, -88573, 0, 265720, 797161, 1594323, 2391485, 2391485, 0, -7174454, -21523361, -43046721, -64570081, -64570081
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The g.f. is obtained from that of A003462 through the mapping g(x)->g(x(1-x)). A003462 may be retrieved through the mapping g(x)->g(xc(x)), where c(x) is the g.f. of A000108. Binomial transform of x(1+x)/(1+x^2+x^4).
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FORMULA
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G.f.: x(1-x)/(1-4x+7x^2-6x^3+3x^4); a(n)=sum{k=0..floor(n/2), C(n-k, k)(-1)^k(3^(n-k)-1)/2}.
a(n)=Sum_{k, 0<=k<=n} A109466(n,k)*A003462(k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 30 2008]
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CROSSREFS
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Cf. A103368.
Sequence in context: A021742 A152416 A138112 this_sequence A077860 A078063 A019944
Adjacent sequences: A106230 A106231 A106232 this_sequence A106234 A106235 A106236
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 26 2005
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