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A137505
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Inverse binomial transform of A007910.
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2
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1, 1, 0, 2, 0, 0, 4, -4, 4, 4, -12, 20, -12, -12, 52, -76, 52, 52, -204, 308, -204, -204, 820, -1228, 820, 820, -3276, 4916, -3276, -3276, 13108, -19660, 13108, 13108, -52428, 78644, -52428, -52428, 209716, -314572, 209716, 209716, -838860, 1258292, -838860, -838860, 3355444, -5033164, 3355444
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history;
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OFFSET
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0,4
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 0..1000
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FORMULA
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a(n)=-a(n-1)+2a(n-3).
a(n)= 4/5+(1/10+1/5*I)*(-1-I)^n+(1/10-1/5*I)*(-1+I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava, Jun 03 2008
O.g.f.: (1+x)^2/((1-x)(1+2x+2x^2)). - R. J. Mathar, Jun 12 2008
a(4n) = a(4n+1) = (-1)^n*A109499(n). - Paul Curtz, Nov 01 2009
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MATHEMATICA
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LinearRecurrence[{-1, 0, 2}, {1, 1, 0}, 50] (* Harvey P. Dale, Sep 17 2012 *)
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CROSSREFS
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Sequence in context: A072070 A137828 A137830 * A107498 A094295 A085969
Adjacent sequences: A137502 A137503 A137504 * A137506 A137507 A137508
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KEYWORD
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sign
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AUTHOR
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Paul Curtz, Apr 23 2008
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EXTENSIONS
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More terms from R. J. Mathar, Jun 12 2008
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STATUS
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approved
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