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A083686
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a(n) = 2*a(n-1) - 1.
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1
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8, 15, 29, 57, 113, 225, 449, 897, 1793, 3585, 7169, 14337, 28673, 57345, 114689, 229377, 458753, 917505, 1835009, 3670017, 7340033, 14680065, 29360129, 58720257, 117440513, 234881025, 469762049, 939524097, 1879048193, 3758096385, 7516192769, 15032385537
(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) = 7*(2^(n+3))/8 + 1 - David Brotherton (dbroth01(AT)aol.com), Jul 29 2003
a(n) = 3*a(n-1)-2*a(n-2), n>1. - Vincenzo Librandi, Nov 03 2011
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MATHEMATICA
| s=8; lst={1, s}; Do[s=s+(s-1); AppendTo[lst, s], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 30 2009]
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PROG
| (MAGMA) [7*2^n+1 : n in [0..30]]; // Vincenzo Librandi, Nov 03 2011
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CROSSREFS
| Sequence in context: A132298 A188558 A123526 * A089954 A134020 A197602
Adjacent sequences: A083683 A083684 A083685 * A083687 A083688 A083689
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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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