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Search: id:A140228
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| A140228 |
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Binomial transform of [1, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1,...]. |
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+0
1
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| 1, 6, 21, 56, 126, 252, 463, 798, 1308, 2058, 3129, 4620, 6650, 9360, 12915, 17506, 23352, 30702, 39837, 51072, 64758, 81284, 101079, 124614, 152404, 185010, 223041, 267156, 318066, 376536, 443387
(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, 5, 10, 10, 5, 1, 1, -1, 1, -1, 1,...]
a(n)=n(274+85n+n^4)/60 for n>=1. G.f.=(1+x^6)/(1-x)^6. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 03 2008
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EXAMPLE
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a(4) = 56 = (1, 3, 3, 1) dot (1, 5, 10, 10) = (1 + 15 + 30 + 10).
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MAPLE
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1, seq((1/60)*n*(274+85*n^2+n^4), n=1..30); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 03 2008
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CROSSREFS
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Sequence in context: A023031 A090581 A000389 this_sequence A006090 A100356 A137361
Adjacent sequences: A140225 A140226 A140227 this_sequence A140229 A140230 A140231
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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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