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A155596
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a(n) = 5^n - 2^n + 1^n.
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30
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1, 4, 22, 118, 610, 3094, 15562, 77998, 390370, 1952614, 9764602, 48826078, 244136530, 1220694934, 6103499242, 30517545358, 152587825090, 762939322054, 3814697003482, 19073485803838, 95367430592050, 476837156105974
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..21.
Index entries for linear recurrences with constant coefficients, signature (8,-17,10).
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FORMULA
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G.f.: 1/(1-5*x)-1/(1-2*x)+1/(1-x).
E.g.f.: e^(5*x) - e^(2*x) + e^x.
a(n) = 7*a(n-1)-10*a(n-2)+4 with a(0)=1, a(1)=4. - Vincenzo Librandi, Jul 21 2010
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MATHEMATICA
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Table[5^n-2^n+1, {n, 0, 30}] (* or *) LinearRecurrence[{8, -17, 10}, {1, 4, 22}, 30] (* Harvey P. Dale, Sep 11 2019 *)
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PROG
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(PARI) a(n)=5^n-2^n+1 \\ Charles R Greathouse IV, Sep 24 2015
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CROSSREFS
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Cf. A074501, A020515, A155588, A155590, A155592, A155593, A155594.
Sequence in context: A305554 A291183 A245087 * A244900 A261193 A025569
Adjacent sequences: A155593 A155594 A155595 * A155597 A155598 A155599
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KEYWORD
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nonn,easy
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AUTHOR
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Mohammad K. Azarian, Jan 25 2009
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STATUS
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approved
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