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Search: id:A024184
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| A024184 |
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Third elementary symmetric function of 3,4,...,n+4. |
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+0
2
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| 60, 342, 1175, 3135, 7140, 14560, 27342, 48150, 80520, 129030, 199485, 299117, 436800, 623280, 871420, 1196460, 1616292, 2151750, 2826915, 3669435, 4710860, 5986992, 7538250, 9410050, 11653200, 14324310, 17486217, 21208425, 25567560
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OFFSET
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1,1
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FORMULA
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n(n+1)(n+2)(n+7)(n^2+13n+46)/48.
If we define f(n,i,a)=sum(binomial(n,k)*stirling1(n-k,i)*product(-a-j,j=0..k-1),k=0..n-i), then a(n-2) = -f(n,n-3,3), for n>=3. [From Milan R. Janjic (agnus(AT)blic.net), Dec 20 2008]
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CROSSREFS
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Sequence in context: A033591 A133118 A092478 this_sequence A119631 A056428 A056419
Adjacent sequences: A024181 A024182 A024183 this_sequence A024185 A024186 A024187
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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