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1, 3, 17, 99, 545, 2883, 14897, 75939, 384065, 1933443, 9706577, 48650979, 243609185, 1219108803, 6098732657, 30503229219, 152544843905, 762810312963, 3814309845137, 19072324066659, 95363944856225, 476826697849923
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: 1/(1-5*x)-1/(1-3*x)+1/(1-x). E.g.f.: e^(5*x)-e^(3*x)+e^x.
a(n)=8*a(n-1)-15*a(n-2)+8 with a(0)=1, a(1)=3 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
a(0)=1, a(1)=3, a(2)=17, a(n)=9*a(n-1)-23*a(n-2)+15*a(n-3) [From Harvey P. Dale, Jan 06 2012]
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MATHEMATICA
| Table[5^n-3^n+1, {n, 0, 30}] (* or *) LinearRecurrence[{9, -23, 15}, {1, 3, 17}, 31] (* From Harvey P. Dale, Jan 06 2012 *)
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CROSSREFS
| A155596, A155597, A155598, A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606, A155607, A155608, A155609
Sequence in context: A010913 A142988 A056660 * A001541 A161473 A161940
Adjacent sequences: A155607 A155608 A155609 * A155611 A155612 A155613
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KEYWORD
| nonn
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 26 2009
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