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A083705
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a(n) = 2*a(n-1)-1 with a(0)=10.
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2
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10, 19, 37, 73, 145, 289, 577, 1153, 2305, 4609, 9217, 18433, 36865, 73729, 147457, 294913, 589825, 1179649, 2359297, 4718593, 9437185, 18874369, 37748737, 75497473, 150994945, 301989889, 603979777, 1207959553, 2415919105, 4831838209, 9663676417, 19327352833
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (3,-2).
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FORMULA
| a(n)= 1+9*2^n = 3*a(n-1)-2*a(n-2). G.f.: -(-10+11*x)/((2*x-1)*(x-1)). [From R. J. Mathar, Aug 01 2009]
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MATHEMATICA
| s=10; lst={s}; Do[s=s+(s-1); AppendTo[lst, s], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 30 2009]
NestList[2#-1&, 10, 40] (* From Harvey P. Dale, Mar 13 2011 *)
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PROG
| (MAGMA) [9*2^n+1 : n in [0..30]]; // Vincenzo Librandi, Nov 03 2011
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CROSSREFS
| Sequence in context: A085728 A195955 A127194 * A082659 A088409 A065198
Adjacent sequences: A083702 A083703 A083704 * A083706 A083707 A083708
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 15 2003
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