|
Search: id:A086117
|
|
|
| A086117 |
|
Denominator of mean deviation of a symmetrical binomial distribution on n elements. |
|
+0
5
|
|
| 2, 2, 4, 4, 16, 16, 32, 32, 256, 256, 512, 512, 2048, 2048, 4096, 4096, 65536, 65536, 131072, 131072, 524288, 524288, 1048576, 1048576, 8388608, 8388608, 16777216, 16777216, 67108864, 67108864, 134217728, 134217728, 4294967296, 4294967296
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Also denominator of x(n)=Sum(x(k)*x(n-k-1):0<=k<n), x(0)=1/2: x(n)=A098597(n)/a(n+2). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 06 2008
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Binomial Distribution
|
|
FORMULA
|
a(1)=2, a(n)=a(n-1)*A006519(n) - Jon Perry (perry(AT)globalnet.co.uk), Mar 31 2004
|
|
MATHEMATICA
|
Denominator[Table[If[OddQ[n], n!!/2/(n-1)!!, (n-1)!!/2/(n-2)!! ], {n, 50}]]
|
|
CROSSREFS
|
Cf. A086116.
Twice A101926.
Sequence in context: A106051 A066781 A112869 this_sequence A095240 A110428 A076928
Adjacent sequences: A086114 A086115 A086116 this_sequence A086118 A086119 A086120
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
Eric Weisstein (eric(AT)weisstein.com), Jul 10, 2003
|
|
|
Search completed in 0.002 seconds
|
