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Search: id:A140226
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| A140226 |
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Binomial transform of [1, 3, 3, 1, 1, -1, 1, -1, 1,...]. |
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+0
1
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| 1, 4, 10, 20, 36, 60, 94, 140, 200, 276, 370, 484, 620, 780, 966, 1180, 1424, 1700, 2010, 2356, 2740, 3164, 3630, 4140, 4696, 5300, 5954, 6660, 7420, 8236, 9110, 10044, 11040, 12100, 13226, 14420
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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A007318 * [1, 3, 3, 1, 1, -1, 1, -1, 1,...].
a(n)=n(11+n^2)/3 for n>=1. G.f.=(1+x^4)/(1-x)^4. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 03 2008
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EXAMPLE
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a(5) = 36 = (1, 4, 6, 4, 1) dot (1, 3, 3, 1, 1) = (1 + 12 + 18 + 4 + 1).
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MAPLE
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1, seq((1/3)*n*(11+n^2), n=1..35); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 03 2008
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CROSSREFS
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Sequence in context: A008112 A038410 A009847 this_sequence A008059 A145132 A063758
Adjacent sequences: A140223 A140224 A140225 this_sequence A140227 A140228 A140229
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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 12 2008
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 03 2008
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