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A155646
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8^n + 6^n - 1.
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22
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1, 13, 99, 727, 5391, 40543, 308799, 2377087, 18456831, 144295423, 1134207999, 8952731647, 70896259071, 562816507903, 4476410675199, 35654557073407, 284296086618111, 2268726473129983, 18115958466150399, 144724547815866367
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (15,-62,48).
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FORMULA
| G.f.: 1/(1-8*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(8*x)+e^(6*x)-e^x.
a(n)=14*a(n-1)-48*a(n-2)-35 with a(0)=1, a(1)=13 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
a(0)=1, a(1)=13, a(2)=99, a(n)=15*a(n-1)-62*a(n-2)+48*a(n-3) [From Harvey P. Dale, Jul 17 2011]
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MATHEMATICA
| Table[8^n+6^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{15, -62, 48}, {1, 13, 99}, 20] (* From Harvey P. Dale, Jul 17 2011 *)
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PROG
| (PARI) a(n)= 8^n+6^n-1 \\ Charles R Greathouse IV, Jul 31 2011
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CROSSREFS
| Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645.
Sequence in context: A006976 A034270 A201427 * A089936 A196928 A083341
Adjacent sequences: A155643 A155644 A155645 * A155647 A155648 A155649
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KEYWORD
| nonn,easy
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 31 2009
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