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A097067
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Expansion of (1-4*x+5*x^2)/(1-2*x)^2.
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4
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1, 0, 1, 4, 12, 32, 80, 192, 448, 1024, 2304, 5120, 11264, 24576, 53248, 114688, 245760, 524288, 1114112, 2359296, 4980736, 10485760, 22020096, 46137344, 96468992, 201326592, 419430400, 872415232, 1811939328, 3758096384
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OFFSET
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0,4
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COMMENTS
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Binomial transform of A097065. Binomial transform is (n-2)*2^(n-1)+2, or A048495 with an extra leading 1.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (4,-4).
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FORMULA
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a(n) = (n-1)2^(n-2)+5*0^n/4; a(n) = 4*a(n-1)-4*a(n-2), n>1.
a(n+1) = A001787(n).
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MAPLE
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a:=n->abs(floor(sum (2^(n-1), j=1..n))): seq(a(n), n=-1..28); # Zerinvary Lajos, Jun 27 2007
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PROG
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(MAGMA) [(n-1)*2^(n-2)+5*0^n/4 : n in [0..30]]; // Vincenzo Librandi, Sep 25 2011
(PARI) Vec((1-4*x+5*x^2)/(1-2*x)^2 + O(x^50)) \\ Altug Alkan, Nov 13 2015
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CROSSREFS
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Essentially the same as A001787.
Sequence in context: A097392 A090634 A260186 * A139756 A085750 A001787
Adjacent sequences: A097064 A097065 A097066 * A097068 A097069 A097070
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KEYWORD
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nonn,easy
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AUTHOR
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Paul Barry, Jul 22 2004
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STATUS
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approved
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