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A154117
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Expansion of (1 - x + 3*x^2)/((1-x)*(1-2*x)).
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7
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1, 2, 7, 17, 37, 77, 157, 317, 637, 1277, 2557, 5117, 10237, 20477, 40957, 81917, 163837, 327677, 655357, 1310717, 2621437, 5242877, 10485757, 20971517, 41943037, 83886077, 167772157, 335544317, 671088637, 1342177277, 2684354557
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OFFSET
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0,2
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COMMENTS
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Binomial transform of 1,1,4,1,4,1,4,1,4,1,4,1,4,1,4,... - _Philippe Deleham_, Jan 05 2009
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LINKS
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FORMULA
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a(n) = 3*a(n-1) - 2*a(n-2), n > 2.
a(n) = 2*a(n-1) + 3, n > 1.
a(n) = 5*2^(n-1) - 3, n >= 1. (End)
E.g.f.: (1/2)*(3 - 6*exp(x) + 5*exp(2*x)). - G. C. Greubel, Sep 02 2016
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MATHEMATICA
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Join[{1}, Table[ 5*2^(n - 1) - 3, {n, 1, 10}]] (* or *) Join[{1, 2, 7}, LinearRecurrence[{3, -2}, {17, 37}, 10]] (* G. C. Greubel, Sep 02 2016 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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