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Search: id:A140064
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| A140064 |
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Binomial transform of [1, 2, 9, 0, 0, 0,...]. |
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+0
2
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| 1, 3, 14, 34, 63, 101, 148, 204, 269, 343, 426, 518, 619, 729, 848, 976, 1113, 1259, 1414, 1578, 1751, 1933, 2124, 2324, 2533, 2751, 2978, 3214, 3459, 3713, 3976, 4248, 4529, 4819, 5118, 5426, 5743, 6069, 6404, 6748
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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A007318 * [1, 2, 9, 0, 0, 0,...].
a(n)=A000217(n)+8*A000217(n-2). O.g.f.: x*(1+8x^2)/(1-x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 06 2008
a(n)=(16-23n+9n^2)/2. - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 07 2008
Ogf([1,3,14,34,63,101,148,204,269,343,426,518,619,729]) = (8*x^2 + 1)/(-x^3 + 3*x^2 - 3*x + 1) - Alexander R. Povolotsky (pevnev(AT)juno.com), May 06 2008
a(n)=A064226(n-2), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2008]
a(n)=9*n+a(n-1)-16 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 10 2009]
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EXAMPLE
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a(4) = 34 = (1, 3, 3, 1) dot (1, 2, 9, 0) = (1 + 6 + 27 + 0).
For n=2, a(2)=9*2+1-16=3; n=3, a(3)=9*3+3-16=14; n=4, a(4)=9*4+14-16=34 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 10 2009]
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MAPLE
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seq((16-23*n+9*n^2)*1/2, n=1..40); - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 07 2008
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CROSSREFS
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Sequence in context: A033991 A155154 A081269 this_sequence A064226 A077288 A094627
Adjacent sequences: A140061 A140062 A140063 this_sequence A140065 A140066 A140067
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KEYWORD
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nonn,new
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), May 03 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Emeric Deutsch (deutsch(AT)duke.poly.edu), May 06 2008
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