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Search: id:A140066
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| A140066 |
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Binomial transform of [1, 2, 5, 0, 0, 0,...]. |
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+0
2
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| 1, 3, 10, 22, 39, 61, 88, 120, 157, 199, 246, 298, 355, 417, 484, 556, 633, 715, 802, 894, 991, 1093, 1200, 1312, 1429, 1551, 1678, 1810, 1947, 2089, 2236, 2388, 2545, 2707, 2874, 3046, 3223, 3405, 3592, 3784
(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, 5, 0, 0, 0,...].
a(n)=A000217(n)+4*A000217(n-2). O.g.f.: x*(1+4x^2)/(1-x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 06 2008
a(n)=(8-11n+5n^2)/2. - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 07 2008
Ogf([1,3,10,22,39,61,88,120,157,199,246,298,355,417]) = (4*x^2 + 1)/(-x^3 + 3*x^2 - 3*x + 1) - Alexander R. Povolotsky (pevnev(AT)juno.com), May 06 2008
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EXAMPLE
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a(4) = 22 = (1, 3, 3, 1) dot (1, 2, 5, 0) = (1, + 6 + 15 + 0).
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MAPLE
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seq((8-11*n+5*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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Adjacent sequences: A140063 A140064 A140065 this_sequence A140067 A140068 A140069
Sequence in context: A068082 A058077 A122795 this_sequence A006503 A023554 A070880
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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), 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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