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A102653
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a(n) = 4 * floor(27*2^n/15).
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3
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4, 12, 28, 56, 112, 228, 460, 920, 1840, 3684, 7372, 14744, 29488, 58980, 117964, 235928, 471856, 943716, 1887436, 3774872, 7549744, 15099492, 30198988, 60397976, 120795952, 241591908, 483183820, 966367640, 1932735280, 3865470564
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| In binary, each term differs from the previous by a single bit.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (3,-3,3,-2).
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FORMULA
| a(n) = 4*A151754(n). G.f. ( 4+4*x^2-4*x^3 ) / ( (x-1)*(2*x-1)*(x^2+1) ). - R. J. Mathar, Feb 20 2011
a(0)=4, a(1)=12, a(2)=28, a(3)=56, a(n)=3*a(n-1)-3*a(n-2)+3*a(n-3)- 2*a(n-4) [From Harvey P. Dale, June 15 2011]
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MATHEMATICA
| Table[4Floor[(27 2^n)/15], {n, 0, 30}] (* or *) LinearRecurrence[ {3, -3, 3, -2}, {4, 12, 28, 56}, 30] (* From Harvey P. Dale, June 15 2011 *)
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CROSSREFS
| Cf. A102650, A102651, A102652.
Sequence in context: A161216 A085622 A011940 * A102650 A011939 A203286
Adjacent sequences: A102650 A102651 A102652 * A102654 A102655 A102656
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KEYWORD
| easy,nonn,less
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AUTHOR
| Odimar Fabeny (aifab(AT)yahoo.com.br), Feb 02 2005
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EXTENSIONS
| Edited by Don Reble (djr(AT)nk.ca), Mar 28 2006
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