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A140062
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101*2^(n-1) - 100.
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0
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1, 102, 304, 708, 1516, 3132, 6364, 12828, 25756, 51612, 103324, 206748, 413596, 827292, 1654684, 3309468, 6619036, 13238172, 26476444, 52952988, 105906076, 211812252, 423624604, 847249308, 1694498716
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OFFSET
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1,2
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LINKS
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FORMULA
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Binomial transform of [1, 101, 101, 101,...].
a(n) = 3*a(n-1)-2*a(n-2). G.f.: x*(1+99*x)/((1-x)*(1-2*x)). - Colin Barker, Aug 12 2012
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EXAMPLE
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a(4) = 708 = 2*a(3) + 100 = 2*304 + 100.
a(4) = 708 = (1, 3, 3, 1) dot (1, 101, 101, 101) = (1 + 303 + 303 + 101) binomial transform of 94)
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MAPLE
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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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