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A103204
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a(1) = 2, a(2) = 4; a(n) = 2*a(n-1) - 1.
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4
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2, 4, 7, 13, 25, 49, 97, 193, 385, 769, 1537, 3073, 6145, 12289, 24577, 49153, 98305, 196609, 393217, 786433, 1572865, 3145729, 6291457, 12582913, 25165825, 50331649, 100663297, 201326593, 402653185, 805306369, 1610612737, 3221225473
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (3,-2).
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FORMULA
| a(n) = 3*2^(n-2) + 1 for n>1. - Ralf Stephan, May 18 2007
a(n) = A004119(n-1), n>1. - R. J. Mathar, Jun 11 2010
G.f.: x*(2-2*x-x^2)/(1-3*x+2*x^2). a(n) = 3*a(n-1)-2*a(n-2), n>3. - Colin Barker, Jan 29 2012
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MATHEMATICA
| a[1] = 2; a[2] = 4; a[n_] := a[n] = 2*a[n - 1] - 1; Table[a[n], {n, 1, 32}]
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CROSSREFS
| Cf. A003945(n-1) + 1.
Sequence in context: A176485 A119266 A102026 * A017995 A099155 A068031
Adjacent sequences: A103201 A103202 A103203 * A103205 A103206 A103207
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 19 2005
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