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Search: id:A086224
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| A086224 |
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a(0) = 6, a(n+1) = 2*a(n) + 1. |
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+0
3
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| 6, 13, 27, 55, 111, 223, 447, 895, 1791, 3583, 7167, 14335, 28671, 57343, 114687, 229375, 458751, 917503, 1835007, 3670015, 7340031, 14680063, 29360127, 58720255, 117440511, 234881023, 469762047, 939524095, 1879048191, 3758096383
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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a(n) = A164874(n+2,2); subsequence of A030130. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 29 2009]
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FORMULA
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a(n)=-1+7*2^n, n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 31 2008]
G.f.: (6-5*x)/((1-x)*(1-2*x)) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Sep 14 2009]
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MATHEMATICA
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a=6; lst={a}; k=7; Do[a+=k; AppendTo[lst, a]; k+=k, {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 16 2008]
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CROSSREFS
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a(0) = 2 gives A055010 except for initial terms
a(0) = 4 gives A052549 except initial terms
a(0) = 6 gives A086224
a(0) = 8 gives A052549 except initial terms
a(0) = 10 gives A086225
a(0) = 12 gives A086226
a(0) = 14 gives A086227
a(0) = 16 gives A086228
a(0) = 18 gives A086229
Cf. A000975.
Cf. A000225. [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Sep 14 2009]
Sequence in context: A162432 A117072 A081395 this_sequence A116913 A016071 A086652
Adjacent sequences: A086221 A086222 A086223 this_sequence A086225 A086226 A086227
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KEYWORD
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nonn,easy
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AUTHOR
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Marco Matosic (marcomatosic(AT)hotmail.com), Jul 27 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 22 2005
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