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A221910
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a(n) = 8^n + 8*n.
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1
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1, 16, 80, 536, 4128, 32808, 262192, 2097208, 16777280, 134217800, 1073741904, 8589934680, 68719476832, 549755813992, 4398046511216, 35184372088952, 281474976710784, 2251799813685384, 18014398509482128
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (10,-17,8).
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FORMULA
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G.f.: (1+6*x-63*x^2)/((1-x)^2*(1-8*x)).
a(n) = 10*a(n-1)-17*a(n-2)+8*a(n-3).
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MATHEMATICA
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Table[(8^n + 8 n), {n, 0, 30}] (* or *) CoefficientList[Series[(1 + 6 x - 63 x^2)/((1 - x)^2(1 - 8 x)), {x, 0, 30}], x]
LinearRecurrence[{10, -17, 8}, {1, 16, 80}, 20] (* Harvey P. Dale, May 29 2021 *)
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PROG
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(MAGMA) [8^n + 8*n: n in [0..30]]; /* or */ I:=[1, 16, 80]; [n le 3 select I[n] else 10*Self(n-1)-17*Self(n-2)+8*Self(n-3): n in [1..30]];
(PARI) a(n)=8^n+8*n \\ Charles R Greathouse IV, Apr 18 2013
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CROSSREFS
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Cf. A198398.
Sequence in context: A247817 A034570 A165963 * A069840 A000817 A192510
Adjacent sequences: A221907 A221908 A221909 * A221911 A221912 A221913
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Mar 02 2013
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STATUS
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approved
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