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A154252
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Expansion of (1-x+8x^2)/((1-x)(1-2x)) .
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4
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1, 2, 12, 32, 72, 152, 312, 632, 1272, 2552, 5112, 10232, 20472, 40952, 81912, 163832, 327672, 655352, 1310712, 2621432, 5242872, 10485752, 20971512, 41943032, 83886072, 167772152, 335544312, 671088632, 1342177272, 2684354552, 5368709112, 10737418232
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OFFSET
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0,2
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COMMENTS
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Binomial transform of 1,1,9,1,9,1,9,1,9,1,9,1,9,1,9,...
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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, with a(0)=1, a(1)=2, a(2)=12.
a(n) = 2*a(n-1) + 8, n>1, with a(0)=1, a(1)=2.
a(n) = 10*2^(n-1) - 8, n>=1, with a(0)=1.
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MATHEMATICA
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Join[{1}, LinearRecurrence[{3, -2}, {2, 12}, 40]] (* Harvey P. Dale, Dec 30 2014 *)
Join[{1}, Table[5*2^n - 8, {n, 1, 25}]] (* G. C. Greubel, Sep 08 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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