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Search: id:A116423
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| 0, 1, 3, 9, 26, 74, 209, 588, 1651, 4631, 12983, 36388, 101972, 285741, 800660, 2243445, 6286059, 17613241, 49351342, 138279586, 387451077, 1085614208, 3041824015, 8523002359, 23880923183, 66912861640, 187485674652
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OFFSET
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1,3
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COMMENT
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a(n)/a(n-1) tends to 2.801...= 1 + 2*Cos Pi/7.
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FORMULA
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Binomial transform of A006053 starting with A006053(1): (0, 1, 1, 3, 4, 9, 14...)
O.g.f.: x^2(1-x)/(1-4x+3x^2+x^3). a(n)=4*a(n-1)-3*a(n-2)-a(n-3). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
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EXAMPLE
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a(5) = 26 = 1*0 + 1*4 + 4*1 + 4*3 + 6*1 = 4 + 4 + 12 + 6 = 26
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CROSSREFS
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Cf. A006053.
Sequence in context: A054447 A061667 A127911 this_sequence A077845 A000243 A076264
Adjacent sequences: A116420 A116421 A116422 this_sequence A116424 A116425 A116426
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson. (qntmpkt(AT)yahoo.com), Feb 14 2006
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
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