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A145303
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a(n) = ((8 + sqrt(8))^n + (8 - sqrt(8))^n)/2.
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7
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1, 8, 72, 704, 7232, 76288, 815616, 8777728, 94769152, 1024753664, 11088986112, 120037572608, 1299617939456, 14071782965248, 152369922834432, 1649898919297024, 17865667030024192, 193456332999753728
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = 16*a(n-1) - 56*a(n-2).
G.f.: (1-8x)/(1-16x+56x^2).
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PROG
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(Magma) Z<x>:= PolynomialRing(Integers()); N<r8>:=NumberField(x^2-8); S:=[ ((8+r8)^n+(8-r8)^n)/2: n in [0..17] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Oct 20 2008
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Al Hakanson (hawkuu(AT)gmail.com), Oct 06 2008
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EXTENSIONS
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STATUS
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approved
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