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Search: id:A131128
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| A131128 |
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Binomial transform of [1, 1, 5, 1, 5, 1, 5,...]. |
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+0
5
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| 1, 2, 8, 20, 44, 92, 188, 380, 764, 1532, 3068, 6140, 12284, 24572, 49148, 98300, 196604, 393212, 786428, 1572860, 3145724, 6291452, 12582908, 25165820, 50331644, 100663292, 201326588, 402653180, 805306364, 1610612732, 3221225468
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A095121 = binomial transform of [1, 1, 3, 1, 3, 1, 3,...].
Row sums of triangle A131129. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 19 2007
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FORMULA
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a(n)=3*2^n - 4 for n>=1; a(0)=1. Formula follows by replacing [1,1,5,1,5,1,...] by [1,3-2,3+2,3-2,3+2,3-2,...]. G.f. = (1-x+4x^2)/[(1-x)((1-2x)]. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 19 2007
G.f.=(1-x+4x^2)/[(1-x)(1-2x)]. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 09 2007
Row sums of triangle A132047. For example, a(3) = 20 = sum of row 3 terms of triangle A132047: (1 + 9 + 9 + 1). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 08 2007
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EXAMPLE
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a(3) = 20 = (1, 3, 3, 1) dot (1, 1, 5, 1) = (1 + 3 + 15 + 1).
a(3) = 20 = row sums of row 3, triangle A131129 = (3 + 9 + 7 + 1).
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MAPLE
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1, seq(3*2^n-4, n = 1 .. 30); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 19 2007
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CROSSREFS
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Cf. A131129, A095121.
Cf. A132047.
Adjacent sequences: A131125 A131126 A131127 this_sequence A131129 A131130 A131131
Sequence in context: A057566 A009303 A096586 this_sequence A066857 A058405 A133326
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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), Jun 16 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 19 2007
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