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Search: id:A140227
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| A140227 |
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Binomial transform of [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...]. |
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+0
1
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| 1, 5, 15, 35, 70, 127, 215, 345, 530, 785, 1127, 1575, 2150, 2875, 3775, 4877, 6210, 7805, 9695, 11915, 14502, 17495, 20935, 24865, 29330, 34377, 40055, 46415, 53510, 61395, 70127, 79765, 90370, 102005, 114735, 128627, 143750, 160175, 177975
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OFFSET
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1,2
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FORMULA
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A007318 * [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...].
O.g.f.: x(1+x)(x^4-x^3+x^2-x+1)/(1-x)^5. a(n)=2+35*(n-1)^2/12+(n-1)^4/12, n>1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 18 2008
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EXAMPLE
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a(4) = 35 = (1, 3, 3, 1) dot (1, 4, 6, 4) = (1 + 12 + 18 + 4).
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CROSSREFS
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Sequence in context: A138779 A090580 A000332 this_sequence A049016 A139761 A137360
Adjacent sequences: A140224 A140225 A140226 this_sequence A140228 A140229 A140230
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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 R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 18 2008
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