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Search: id:A052472
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| A052472 |
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Number of independent components for a Weyl tensor in n dimensions. |
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+0
4
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| 0, 10, 35, 84, 168, 300, 495, 770, 1144, 1638, 2275, 3080, 4080, 5304, 6783, 8550, 10640, 13090, 15939, 19228, 23000, 27300, 32175, 37674, 43848, 50750, 58435, 66960, 76384, 86768, 98175, 110670, 124320, 139194, 155363, 172900, 191880
(list; graph; listen)
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OFFSET
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3,2
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LINKS
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Eric Weisstein's World of Mathematics, Source
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FORMULA
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a(n) = n(n+1)(n+2)(n-3)/12 for n >= 3.
a(n)=2*C(n,4)-C(n,3),n>=5 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2006
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MAPLE
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[seq(2*binomial(n, 4)-binomial(n, 3), n=5..41)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2006
a:=n->(sum((numbcomp(n, 4)), j=7..n))/2:seq(a(n), n=6..42); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 26 2008]
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MATHEMATICA
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s1=s2=s3=0; lst={}; Do[a=n+(n+1); s1+=a; s2+=s1; s3+=s2; If[s3>=0, AppendTo[lst, s3]], {n, -1, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 04 2009]
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CROSSREFS
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Cf. A058373.
Sequence in context: A044468 A109710 A000447 this_sequence A049736 A048507 A070755
Adjacent sequences: A052469 A052470 A052471 this_sequence A052473 A052474 A052475
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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