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A152429
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a(n) = (11^n + 5^n)/2.
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1
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1, 8, 73, 728, 7633, 82088, 893593, 9782648, 107374753, 1179950408, 12973595113, 142680249368, 1569336258673, 17261966423528, 189877968549433, 2088639343496888, 22974941225731393, 252723895719373448
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OFFSET
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0,2
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COMMENTS
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Inverse binomial transform of A143079.
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LINKS
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FORMULA
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a(n) = 16*a(n-1) - 55*a(n-2), with a(0)=1, a(1)=8.
G.f.: (1-8*x)/(1 - 16*x + 55*x^2).
a(n) = Sum_{k=0..n} A098158(n,k)*8^(2k-n)*9^(n-k).
a(n) = ((8 + sqrt(9))^n + (8 - sqrt(9))^n)/2. - Al Hakanson (hawkuu(AT)gmail.com), Dec 08 2008
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MAPLE
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MATHEMATICA
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LinearRecurrence[{16, -55}, {1, 8}, 20] (* G. C. Greubel, Jan 08 2020 *)
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PROG
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(PARI) vector(21, n, (11^(n-1) + 5^(n-1))/2 ) \\ G. C. Greubel, Jan 08 2020
(Sage) [(11^n+5^n)/2 for n in (0..20)] # G. C. Greubel, Jan 08 2020
(GAP) List([0..20], n-> (11^n+5^n)/2); # G. C. Greubel, Jan 08 2020
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CROSSREFS
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KEYWORD
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nonn,less
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AUTHOR
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STATUS
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approved
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