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A083225
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a(n) = (7*8^n + (-8)^n)/8.
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3
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1, 6, 64, 384, 4096, 24576, 262144, 1572864, 16777216, 100663296, 1073741824, 6442450944, 68719476736, 412316860416, 4398046511104, 26388279066624, 281474976710656, 1688849860263936, 18014398509481984, 108086391056891904
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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..300
Index entries for linear recurrences with constant coefficients, signature (0,64).
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FORMULA
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a(n) = (7*8^n + (-8)^n)/8.
G.f.: (1+6*x)/((1+8*x)*(1-8*x)).
E.g.f.: (7*exp(8*x) + exp(-8*x))/8.
a(n) = 64*a(n-2); a(0)=1, a(1)=6. - Harvey P. Dale, Apr 22 2012
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MATHEMATICA
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Table[(7*8^n+(-8)^n)/8, {n, 0, 20}] (* or *) LinearRecurrence[{0, 64}, {1, 6}, 20] (* Harvey P. Dale, Apr 22 2012 *)
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PROG
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(Magma) [(7*8^n+(-8)^n)/8: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011
(PARI) a(n)= (7*8^n+(-8)^n)/8 \\ Charles R Greathouse IV, Jun 29 2011
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CROSSREFS
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Cf. A083224, A083226.
Sequence in context: A218383 A222596 A067447 * A320528 A237357 A230282
Adjacent sequences: A083222 A083223 A083224 * A083226 A083227 A083228
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry, Apr 23 2003
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STATUS
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approved
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